Janusz Grabowski - Author Profile

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Grabowski, Janusz

Author ID:	grabowski.janusz
Published as:	Grabowski, Janusz; Grabowski, J.; Grabowski, Jannusz more...less
External Links:	MGP · ORCID · Wikidata · GND

Documents Indexed:	154 Publications since 1978, including 1 Book and 15 Additional arXiv Preprints
	4 Contributions as Editor · 1 Further Contribution
Reviewing Activity:	86 Reviews
Biographic References:	1 Publication
Co-Authors:	45 Co-Authors with 122 Joint Publications
	1,050 Co-Co-Authors

all top 5

Co-Authors

35	single-authored
37	Grabowska, Katarzyna
34	Marmo, Giuseppe
19	Urbański, Paweł
15	Cariñena, José F.
13	Bruce, Andrew James
13	Poncin, Norbert
12	Kuś, Marek
7	de Lucas, Javier
5	Michor, Peter Wolfram
5	Ravanpak, Zohreh
5	Rotkiewicz, Mikołaj
4	Covolo, Tiffany
4	Kotov, Alexei
3	Alekseevskiĭ, Dmitriĭ Vladimirovich
3	Dobrowolski, Tadeusz
3	Falceto, Fernando
3	Gotay, Mark J.
3	Marrero Gonzalez, Juan Carlos
2	Fialowski, Alice
2	Iglesias, David
2	Jóźwikowski, Michał
2	Padrón, Edith
2	Perelomov, Askold M.
2	Rañada, Manuel F.
1	Ancel, Fredric D.
1	Banaszczyk, Wojciech
1	Campillo, Antonio
1	de León Rodríguez, Manuel
1	Di Cosmo, Fabio
1	Grundling, Hendrik B. G. S.
1	Ibort, Alberto
1	Kaneshige, Bryon
1	Kawamura, Kazuhiro
1	Khudaverdyan, David
1	Martín de Diego, David
1	Müller, Gerd
1	Neeb, Karl-Hermann
1	PawełUrbański
1	Ramos, Arturo
1	Sardón, Cristina
1	Schlichenmaier, Martin
1	Shul’man, Tat’yana Viktorovna
1	Simoni, Alberto
1	Starke, Peter H.
1	Vitagliano, Luca
1	Wojtyński, Wojciech

all top 5

Serials

17	Journal of Physics A: Mathematical and Theoretical
13	Journal of Geometry and Physics
9	Journal of Physics A: Mathematical and General
6	Reports on Mathematical Physics
5	International Journal of Geometric Methods in Modern Physics
4	Journal of Mathematical Physics
4	Studia Mathematica
4	Compositio Mathematica
4	Annals of Global Analysis and Geometry
4	Journal of Lie Theory
4	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4	Banach Center Publications
4	Journal of Geometric Mechanics
3	Open Systems & Information Dynamics
2	Modern Physics Letters A
2	International Journal of Modern Physics A
2	Reviews in Mathematical Physics
2	Journal of Differential Equations
2	Proceedings of the American Mathematical Society
2	Differential Geometry and its Applications
2	Transformation Groups
2	Central European Journal of Mathematics
2	Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II
1	Letters in Mathematical Physics
1	Annales de l’Institut Fourier
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	Archiv der Mathematik
1	Canadian Mathematical Bulletin
1	Colloquium Mathematicum
1	Commentationes Mathematicae Universitatis Carolinae
1	Fundamenta Mathematicae
1	Inventiones Mathematicae
1	Journal of Pure and Applied Algebra
1	Journal für die Reine und Angewandte Mathematik
1	Mathematische Zeitschrift
1	SIAM Journal on Control and Optimization
1	Rendiconti del Seminario Matematico
1	Note di Matematica
1	Acta Applicandae Mathematicae
1	Publicacions Matemàtiques
1	Indagationes Mathematicae. New Series
1	Acta Mathematica Sinica. English Series
1	Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques

all top 5

Fields

79	Differential geometry (53-XX)
72	Nonassociative rings and algebras (17-XX)
55	Global analysis, analysis on manifolds (58-XX)
35	Dynamical systems and ergodic theory (37-XX)
28	Topological groups, Lie groups (22-XX)
25	Mechanics of particles and systems (70-XX)
22	Quantum theory (81-XX)
13	Manifolds and cell complexes (57-XX)
12	Associative rings and algebras (16-XX)
11	Ordinary differential equations (34-XX)
11	Functional analysis (46-XX)
9	Algebraic topology (55-XX)
6	Commutative algebra (13-XX)
6	Algebraic geometry (14-XX)
6	Partial differential equations (35-XX)
5	Group theory and generalizations (20-XX)
4	General and overarching topics; collections (00-XX)
4	Category theory; homological algebra (18-XX)
4	General topology (54-XX)
3	Several complex variables and analytic spaces (32-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
1	Special functions (33-XX)
1	Operator theory (47-XX)
1	Calculus of variations and optimal control; optimization (49-XX)
1	Geometry (51-XX)
1	Convex and discrete geometry (52-XX)
1	Statistics (62-XX)
1	Computer science (68-XX)
1	Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

130 Publications have been cited 1,552 times in 771 Documents	Cited by ▼	Year ▼
Higher vector bundles and multi-graded symplectic manifolds. Zbl 1171.58300 Grabowski, Janusz; Rotkiewicz, Mikołaj	67	2009
Lie-Scheffers systems: a geometric approach. Zbl 1221.34025 Cariñena, J. F.; Grabowski, J.; Marmo, G.	51	2000
Lie algebroids and Poisson-Nijenhuis structures. Zbl 1005.53061 Grabowski, Janusz; Urbański, Paweł	48	1997
Geometry of quantum systems: density states and entanglement. Zbl 1085.81017 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	47	2005
Tangent lifts of Poisson and related structures. Zbl 0872.58028 Grabowski, J.; Urbański, P.	47	1995
Quantum bi-Hamiltonian systems. Zbl 1002.81026 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	47	2000
Variational calculus with constraints on general algebroids. Zbl 1137.70011 Grabowska, Katarzyna; Grabowski, Janusz	42	2008
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	41	2007
Nonholonomic constraints: a new viewpoint. Zbl 1200.37057 Grabowski, Janusz; de León, Manuel; Marrero, J. C.; Martín de Diego, D.	40	2009
Algebroids – general differential calculi on vector bundles. Zbl 0954.17014 Grabowski, J.; Urbański, P.	38	1999
Poisson structures: Towards a classification. Zbl 1020.37529 Grabowski, J.; Marmo, G.; Perelomov, A. M.	34	1993
Jacobi structure revisited. Zbl 0998.53054 Grabowski, Janusz; Marmo, Giuseppe	34	2001
Graded bundles and homogeneity structures. Zbl 1244.53034 Grabowski, Janusz; Rotkiewicz, Mikołaj	33	2012
The category of \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1345.58003 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert	29	2016
The graded Jacobi algebras and (co)homology. Zbl 1039.53090 Grabowski, Janusz; Marmo, Giuseppe	29	2003
Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids. Zbl 0973.58006 Grabowski, J.; Urbański, P.	29	1997
Graded contact manifolds and contact Courant algebroids. Zbl 1280.53070 Grabowski, Janusz	27	2013
Lie brackets on affine bundles. Zbl 1044.53056 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	26	2003
On Filippov algebroids and multiplicative Nambu-Poisson structures. Zbl 1026.17006 Grabowski, J.; Marmo, G.	25	2000
Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1404.58011 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert	25	2016
Isomorphisms and ideals of the Lie algebras of vector fields. Zbl 0378.57010 Grabowski, Janusz	24	1978
Remarks on contact and Jacobi geometry. Zbl 1369.53057 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	24	2017
The supergeometry of Loday algebroids. Zbl 1294.53072 Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert	23	2013
Symmetries, group actions, and entanglement. Zbl 1110.81044 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	23	2006
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	22	2004
Linear duals of graded bundles and higher analogues of (Lie) algebroids. Zbl 1334.58002 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	21	2016
Higher order mechanics on graded bundles. Zbl 1392.53087 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	20	2015
Free subgroups of diffeomorphism groups. Zbl 0666.58011 Grabowski, Janusz	20	1988
Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011 Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo	19	2001
Pontryagin maximum principle on almost Lie algebroids. Zbl 1228.49017 Grabowski, Janusz; Jóźwikowski, Michał	19	2011
Abstract Jacobi and Poisson structures. Quantization and star-products. Zbl 0761.16012 Grabowski, J.	18	1992
Superposition rules for higher order systems and their applications. Zbl 1248.34008 Cariñena, J. F.; Grabowski, J.; de Lucas, J.	18	2012
Dirac algebroids in Lagrangian and Hamiltonian mechanics. Zbl 1223.37064 Grabowska, Katarzyna; Grabowski, Janusz	18	2011
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011 Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.	17	2014
AV-differential geometry: Poisson and Jacobi structures. Zbl 1093.53086 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	17	2004
Modular classes of skew algebroid relations. Zbl 1287.53072 Grabowski, Janusz	15	2012
Homology and modular classes of Lie algebroids. Zbl 1141.17018 Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W.	15	2006
Mixed superposition rules and the Riccati hierarchy. Zbl 1267.34016 Grabowski, Janusz; de Lucas, Javier	15	2013
Remarks on Nambu-Poisson and Nambu-Jacobi brackets. Zbl 0949.37034 Grabowski, J.; Marmo, G.	14	1999
Poisson structures on double Lie groups. Zbl 1020.17016 Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.	14	1998
Graded bundles in the category of Lie groupoids. Zbl 1331.22006 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	13	2015
Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	13	2001
A geometric approach to contact Hamiltonians and contact Hamilton-Jacobi theory. Zbl 1511.53071 Grabowska, Katarzyna; Grabowski, Janusz	13	2022
Quasi-derivations and QD-algebroids. Zbl 1051.53067 Grabowski, Janusz	12	2003
Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions. Zbl 0822.58016 Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.	12	1994
Courant-Nijenhuis tensors and generalized geometries. Zbl 1137.53021 Grabowski, Janusz	12	2006
Pre-Courant algebroids. Zbl 1478.53135 Bruce, Andrew James; Grabowski, Janusz	11	2019
Isomorphisms of algebras of smooth functions revisited. Zbl 1082.46020 Grabowski, J.	10	2005
Automorphisms of quantum and classical Poisson algebras. Zbl 1044.17013 Grabowski, J.; Poncin, N.	10	2004
Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	10	2001
Quasi-Lie schemes: theory and applications. Zbl 1193.34011 Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier	9	2009
Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224 Cariñena, J. F.; Falceto, F.; Grabowski, J.	9	2016
Geometry of Lie integrability by quadratures. Zbl 1328.34010 Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.	8	2015
Tulczyjew triples: from statics to field theory. Zbl 1357.70016 Grabowska, Katarzyna; Grabowski, Janusz	8	2013
Poisson-Jacobi reduction of homogeneous tensors. Zbl 1073.53110 Grabowski, J.; Iglesias, D.; Marrero, J. C.; Padrón, E.; Urbanski, P.	8	2004
Entanglement for multipartite systems of indistinguishable particles. Zbl 1214.81039 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	8	2011
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029 Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł	7	2014
On the relation between states and maps in infinite dimensions. Zbl 1137.81005 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	7	2007
Double affine bundles. Zbl 1188.53023 Grabowski, Janusz; Urbański, Paweł; Rotkiewicz, Mikołaj	7	2010
AV-differential geometry: Euler-Lagrange equations. Zbl 1132.70008 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	7	2007
Lie groupoids in information geometry. Zbl 1509.53017 Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	7	2019
Polarisation of graded bundles. Zbl 1359.58003 Bruce, Andrew James; Grabowski, Janusz; Rotkiewicz, Mikołaj	7	2016
An introduction to loopoids. Zbl 1413.20037 Grabowski, Janusz	7	2016
Binary operations in classical and quantum mechanics. Zbl 1068.17009 Grabowski, Janusz; Marmo, Giuseppe	6	2003
An obstruction to quantizing compact symplectic manifolds. Zbl 1097.53502 Gotay, Mark J.; Grabowski, Janusz; Grundling, Hendrik B.	6	2000
Non-antisymmetric versions of Nambu-Poisson and algebroid brackets. Zbl 1021.53059 Grabowski, Janusz; Marmo, Giuseppe	6	2001
Lie families: theory and applications. Zbl 1236.34012 Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier	6	2010
Geometric structures encoded in the Lie structure of an Atiyah algebroid. Zbl 1288.58010 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert	6	2011
Introduction to graded bundles. Zbl 1395.55017 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	6	2017
Modular classes revisited. Zbl 1343.53082 Grabowski, Janusz	5	2014
Lie superalgebras of differential operators. Zbl 1264.58004 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert	5	2013
Derivative of the exponential mapping for infinite dimensional Lie groups. Zbl 0836.22028 Grabowski, Janusz	5	1993
Reductions: precontact versus presymplectic. Zbl 1528.53075 Grabowska, Katarzyna; Grabowski, Janusz	5	2023
Petri-Netze. Grundlagen, Anwendungen, Theorie. Zbl 0449.68020 Starke, Peter H.	4	1980
The Lie structure of \(C^*\) and Poisson algebras. Zbl 0536.46043 Grabowski, Janusz	4	1985
Segre maps and entanglement for multipartite systems of indistinguishable particles. Zbl 1243.81037 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	4	2012
The Lie superalgebra of a supermanifold. Zbl 1207.58005 Grabowski, Jannusz; Kotov, Alexei; Poncin, Norbert	4	2010
Derivation algebras of toric varieties. Zbl 1053.14518 Campillo, Antonio; Grabowski, Janusz; Müller, Gerd	4	1999
Frame-independent mechanics: geometry on affine bundles. Zbl 1097.37045 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	4	2005
Poisson Lie groups and their relations to quantum groups. Zbl 0864.17034 Grabowski, Janusz	4	1995
On quantizing nilpotent and solvable basic algebras. Zbl 0983.53063 Gotay, Mark J.; Grabowski, Janusz	4	2001
On characterization of Poisson and Jacobi structures. Zbl 1028.17015 Grabowski, Janusz; Urbański, Paweł	4	2003
Remarks on Virasoro and Kac-Moody algebras. Zbl 1044.17506 Grabowski, J.; Marmo, G.; Perelomov, A.; Simoni, A.	4	1996
Completely integrable systems—a generalization. Zbl 1020.37538 Alekseevsky, D. V.; Grabowski, J.; Marmo, G.; Michor, P. W.	4	1997
Remarks on nilpotent Lie algebras of vector fields. Zbl 0687.57009 Grabowski, Janusz	4	1990
Homomorphisms of the Lie algebras associated with a symplectic manifold. Zbl 0718.53025 Atkin, C. J.; Grabowski, J.	4	1990
Lie algebras of vector fields and generalized foliations. Zbl 0841.53027 Grabowski, Janusz	4	1993
Odd connections on supermanifolds: existence and relation with affine connections. Zbl 1519.58003 Bruce, Andrew James; Grabowski, Janusz	4	2020
Information geometry on groupoids: the case of singular metrics. Zbl 1480.81018 Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	4	2020
Geometry of quantum dynamics in infinite-dimensional Hilbert space. Zbl 1390.81149 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe; Shulman, Tatiana	4	2018
\(n\)-Tuple principal bundles. Zbl 1409.55016 Grabowska, Katarzyna; Grabowski, Janusz	4	2018
Representations up to homotopy from weighted Lie algebroids. Zbl 1437.16042 Bruce, Andrew James; Grabowski, Janusz; Vitagliano, Luca	4	2018
New developments in geometric mechanics. Zbl 1404.70050 Grabowski, Janusz; Bruce, Andrew J.; Grabowska, Katarzyna; Urbański, Paweł	4	2016
Solvable Lie algebras of vector fields and a Lie’s conjecture. Zbl 1490.17015 Grabowska, Katarzyna; Grabowski, Janusz	3	2020
Isomorphisms of Poisson and Jacobi brackets. Zbl 1017.53071 Grabowski, Janusz	3	2000
Nonassociative analogs of Lie groupoids. Zbl 1500.22002 Grabowski, Janusz; Ravanpak, Zohreh	3	2022
VB-structures and generalizations. Zbl 1508.53032 Grabowska, Katarzyna; Grabowski, Janusz; Ravanpak, Zohreh	3	2022
Closed subgroups in Banach spaces. Zbl 0840.46012 Ancel, Fredric D.; Dobrowolski, Tadeusz; Grabowski, Janusz	3	1994
Homotopically non-trivial additive subgroups of Hilbert spaces. Zbl 0916.46010 Grabowski, Janusz	3	1999
Topological type of weakly closed subgroups in Banach spaces. Zbl 0856.46012 Dobrowolski, Tadeusz; Grabowski, Janusz; Kawamura, Kazuhiro	3	1996
Reductions: precontact versus presymplectic. Zbl 1528.53075 Grabowska, Katarzyna; Grabowski, Janusz	5	2023
Lifting statistical structures. Zbl 1514.53055 Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	1	2023
A geometric approach to contact Hamiltonians and contact Hamilton-Jacobi theory. Zbl 1511.53071 Grabowska, Katarzyna; Grabowski, Janusz	13	2022
Nonassociative analogs of Lie groupoids. Zbl 1500.22002 Grabowski, Janusz; Ravanpak, Zohreh	3	2022
VB-structures and generalizations. Zbl 1508.53032 Grabowska, Katarzyna; Grabowski, Janusz; Ravanpak, Zohreh	3	2022
Symplectic \(\mathbb{Z}_2^n\)-manifolds. Zbl 1492.53092 Bruce, Andrew James; Grabowski, Janusz	3	2021
Discrete mechanics on unitary octonions. Zbl 07820777 Grabowski, Janusz; Ravanpak, Zohreh	1	2021
Odd connections on supermanifolds: existence and relation with affine connections. Zbl 1519.58003 Bruce, Andrew James; Grabowski, Janusz	4	2020
Information geometry on groupoids: the case of singular metrics. Zbl 1480.81018 Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	4	2020
Solvable Lie algebras of vector fields and a Lie’s conjecture. Zbl 1490.17015 Grabowska, Katarzyna; Grabowski, Janusz	3	2020
Pre-Courant algebroids. Zbl 1478.53135 Bruce, Andrew James; Grabowski, Janusz	11	2019
Lie groupoids in information geometry. Zbl 1509.53017 Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	7	2019
Quasi-Lie schemes for PDEs. Zbl 1423.35012 Cariñena, J. F.; Grabowski, J.; de Lucas, J.	3	2019
Geometry of quantum dynamics in infinite-dimensional Hilbert space. Zbl 1390.81149 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe; Shulman, Tatiana	4	2018
\(n\)-Tuple principal bundles. Zbl 1409.55016 Grabowska, Katarzyna; Grabowski, Janusz	4	2018
Representations up to homotopy from weighted Lie algebroids. Zbl 1437.16042 Bruce, Andrew James; Grabowski, Janusz; Vitagliano, Luca	4	2018
On the concept of a filtered bundle. Zbl 1390.58002 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	2	2018
Remarks on contact and Jacobi geometry. Zbl 1369.53057 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	24	2017
Introduction to graded bundles. Zbl 1395.55017 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	6	2017
Duality for graded manifolds. Zbl 1384.58006 Grabowski, Janusz; Jóźwikowski, Michał; Rotkiewicz, Mikołaj	3	2017
The category of \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1345.58003 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert	29	2016
Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1404.58011 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert	25	2016
Linear duals of graded bundles and higher analogues of (Lie) algebroids. Zbl 1334.58002 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	21	2016
Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224 Cariñena, J. F.; Falceto, F.; Grabowski, J.	9	2016
Polarisation of graded bundles. Zbl 1359.58003 Bruce, Andrew James; Grabowski, Janusz; Rotkiewicz, Mikołaj	7	2016
An introduction to loopoids. Zbl 1413.20037 Grabowski, Janusz	7	2016
New developments in geometric mechanics. Zbl 1404.70050 Grabowski, Janusz; Bruce, Andrew J.; Grabowska, Katarzyna; Urbański, Paweł	4	2016
Revisiting Lie integrability by quadratures from a geometric perspective. Zbl 1359.37123 Cariñena, José F.; Rañada, Manuel F.; Falceto, Fernando; Grabowski, Janusz	1	2016
Higher order mechanics on graded bundles. Zbl 1392.53087 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	20	2015
Graded bundles in the category of Lie groupoids. Zbl 1331.22006 Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz	13	2015
Geometry of Lie integrability by quadratures. Zbl 1328.34010 Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.	8	2015
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011 Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.	17	2014
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029 Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł	7	2014
Modular classes revisited. Zbl 1343.53082 Grabowski, Janusz	5	2014
Graded contact manifolds and contact Courant algebroids. Zbl 1280.53070 Grabowski, Janusz	27	2013
The supergeometry of Loday algebroids. Zbl 1294.53072 Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert	23	2013
Mixed superposition rules and the Riccati hierarchy. Zbl 1267.34016 Grabowski, Janusz; de Lucas, Javier	15	2013
Tulczyjew triples: from statics to field theory. Zbl 1357.70016 Grabowska, Katarzyna; Grabowski, Janusz	8	2013
Lie superalgebras of differential operators. Zbl 1264.58004 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert	5	2013
Convex bodies of states and maps. Zbl 1280.81014 Grabowski, Janusz; Ibort, Alberto; Kuś, Marek; Marmo, Giuseppe	1	2013
Graded bundles and homogeneity structures. Zbl 1244.53034 Grabowski, Janusz; Rotkiewicz, Mikołaj	33	2012
Superposition rules for higher order systems and their applications. Zbl 1248.34008 Cariñena, J. F.; Grabowski, J.; de Lucas, J.	18	2012
Modular classes of skew algebroid relations. Zbl 1287.53072 Grabowski, Janusz	15	2012
Segre maps and entanglement for multipartite systems of indistinguishable particles. Zbl 1243.81037 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	4	2012
Pontryagin maximum principle on almost Lie algebroids. Zbl 1228.49017 Grabowski, Janusz; Jóźwikowski, Michał	19	2011
Dirac algebroids in Lagrangian and Hamiltonian mechanics. Zbl 1223.37064 Grabowska, Katarzyna; Grabowski, Janusz	18	2011
Entanglement for multipartite systems of indistinguishable particles. Zbl 1214.81039 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	8	2011
Geometric structures encoded in the Lie structure of an Atiyah algebroid. Zbl 1288.58010 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert	6	2011
Double affine bundles. Zbl 1188.53023 Grabowski, Janusz; Urbański, Paweł; Rotkiewicz, Mikołaj	7	2010
Lie families: theory and applications. Zbl 1236.34012 Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier	6	2010
The Lie superalgebra of a supermanifold. Zbl 1207.58005 Grabowski, Jannusz; Kotov, Alexei; Poncin, Norbert	4	2010
Higher vector bundles and multi-graded symplectic manifolds. Zbl 1171.58300 Grabowski, Janusz; Rotkiewicz, Mikołaj	67	2009
Nonholonomic constraints: a new viewpoint. Zbl 1200.37057 Grabowski, Janusz; de León, Manuel; Marrero, J. C.; Martín de Diego, D.	40	2009
Quasi-Lie schemes: theory and applications. Zbl 1193.34011 Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier	9	2009
Wigner’s theorem and the geometry of extreme positive maps. Zbl 1180.81010 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	2	2009
Variational calculus with constraints on general algebroids. Zbl 1137.70011 Grabowska, Katarzyna; Grabowski, Janusz	42	2008
The Schrödinger operator as a generalized Laplacian. Zbl 1166.35319 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	1	2008
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	41	2007
On the relation between states and maps in infinite dimensions. Zbl 1137.81005 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	7	2007
AV-differential geometry: Euler-Lagrange equations. Zbl 1132.70008 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	7	2007
On quantum and classical Poisson algebras. Zbl 1209.17018 Grabowski, Janusz; Poncin, Norbert	1	2007
Local Lie algebra determines base manifold. Zbl 1163.53050 Grabowski, Janusz	1	2007
Jacobi structures on affine bundles. Zbl 1128.53054 Grabowski, J.; Iglesias, D.; Marrero, J. C.; Padrón, E.; Urbański, P.	1	2007
Symmetries, group actions, and entanglement. Zbl 1110.81044 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	23	2006
Homology and modular classes of Lie algebroids. Zbl 1141.17018 Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W.	15	2006
Courant-Nijenhuis tensors and generalized geometries. Zbl 1137.53021 Grabowski, Janusz	12	2006
Geometry of quantum systems: density states and entanglement. Zbl 1085.81017 Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe	47	2005
Isomorphisms of algebras of smooth functions revisited. Zbl 1082.46020 Grabowski, J.	10	2005
Frame-independent mechanics: geometry on affine bundles. Zbl 1097.37045 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	4	2005
Derivations of the Lie algebras of differential operators. Zbl 1154.17305 Grabowski, Janusz; Poncin, N.	2	2005
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	22	2004
AV-differential geometry: Poisson and Jacobi structures. Zbl 1093.53086 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	17	2004
Automorphisms of quantum and classical Poisson algebras. Zbl 1044.17013 Grabowski, J.; Poncin, N.	10	2004
Poisson-Jacobi reduction of homogeneous tensors. Zbl 1073.53110 Grabowski, J.; Iglesias, D.; Marrero, J. C.; Padrón, E.; Urbanski, P.	8	2004
Lie algebraic characterization of manifolds. Zbl 1138.53313 Grabowski, Janusz; Poncin, Norbert	2	2004
The graded Jacobi algebras and (co)homology. Zbl 1039.53090 Grabowski, Janusz; Marmo, Giuseppe	29	2003
Lie brackets on affine bundles. Zbl 1044.53056 Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł	26	2003
Quasi-derivations and QD-algebroids. Zbl 1051.53067 Grabowski, Janusz	12	2003
Binary operations in classical and quantum mechanics. Zbl 1068.17009 Grabowski, Janusz; Marmo, Giuseppe	6	2003
On characterization of Poisson and Jacobi structures. Zbl 1028.17015 Grabowski, Janusz; Urbański, Paweł	4	2003
Polynomial algebras on coadjoint orbits of semisimple Lie groups. Zbl 1035.17031 Gotay, Mark J.; Grabowski, Janusz; Kaneshige, Bryon	1	2002
Jacobi structure revisited. Zbl 0998.53054 Grabowski, Janusz; Marmo, Giuseppe	34	2001
Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011 Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo	19	2001
Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	13	2001
Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	10	2001
Non-antisymmetric versions of Nambu-Poisson and algebroid brackets. Zbl 1021.53059 Grabowski, Janusz; Marmo, Giuseppe	6	2001
On quantizing nilpotent and solvable basic algebras. Zbl 0983.53063 Gotay, Mark J.; Grabowski, Janusz	4	2001
The Lie algebra of a Lie algebroid. Zbl 1003.17011 Grabowski, Janusz; Grabowska, Katarzyna	2	2001
Lie-Scheffers systems: a geometric approach. Zbl 1221.34025 Cariñena, J. F.; Grabowski, J.; Marmo, G.	51	2000
Quantum bi-Hamiltonian systems. Zbl 1002.81026 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe	47	2000
On Filippov algebroids and multiplicative Nambu-Poisson structures. Zbl 1026.17006 Grabowski, J.; Marmo, G.	25	2000
An obstruction to quantizing compact symplectic manifolds. Zbl 1097.53502 Gotay, Mark J.; Grabowski, Janusz; Grundling, Hendrik B.	6	2000
Isomorphisms of Poisson and Jacobi brackets. Zbl 1017.53071 Grabowski, Janusz	3	2000
Poisson geometry. Stanisław Zakrzewski in memoriam. Zbl 0936.00035	1	2000
Algebroids – general differential calculi on vector bundles. Zbl 0954.17014 Grabowski, J.; Urbański, P.	38	1999
Remarks on Nambu-Poisson and Nambu-Jacobi brackets. Zbl 0949.37034 Grabowski, J.; Marmo, G.	14	1999
Derivation algebras of toric varieties. Zbl 1053.14518 Campillo, Antonio; Grabowski, Janusz; Müller, Gerd	4	1999
Homotopically non-trivial additive subgroups of Hilbert spaces. Zbl 0916.46010 Grabowski, Janusz	3	1999
Poisson structures on double Lie groups. Zbl 1020.17016 Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.	14	1998
Lie algebroids and Poisson-Nijenhuis structures. Zbl 1005.53061 Grabowski, Janusz; Urbański, Paweł	48	1997
...and 30 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 762 Authors

57	Grabowski, Janusz
54	Marmo, Giuseppe
30	Cariñena, José F.
30	de Lucas, Javier
28	Bruce, Andrew James
26	Sheng, Yunhe
23	Marrero Gonzalez, Juan Carlos
22	Grabowska, Katarzyna
19	de León Rodríguez, Manuel
18	Poncin, Norbert
16	Ciaglia, Florio Maria
15	Sardón, Cristina
13	Martín de Diego, David
13	Vitagliano, Luca
11	Esen, Oğul
11	Rotkiewicz, Mikołaj
10	Ibort, Alberto
10	Urbański, Paweł
9	Bursztyn, Henrique
9	Clemente-Gallardo, Jesús
9	Di Cosmo, Fabio
9	Jóźwikowski, Michał
9	Liu, Jiefeng
9	Nunes da Costa, Joana Margarida M.
8	Herranz, Francisco José
8	Kuś, Marek
8	Padrón, Edith
8	Ventriglia, Franco
7	Das, Apurba
7	Gaeta, Giuseppe
7	Gao, Xing
7	Guha, Partha
7	Guo, Li
7	Laurent-Gengoux, Camille
7	Liu, Zhangju
7	Michor, Peter Wolfram
7	Vitale, Patrizia
6	Aniello, Paolo
6	Bravetti, Alessandro
6	Cabrera, Alejandro
6	Chruściński, Dariusz
6	Dobrogowska, Alina
6	Jotz Lean, Madeleine
6	Man’ko, Vladimir Ivanovich
6	Peyghan, Esmaeil
6	Rivas, Xavier
6	Simoni, Alberto
6	Tortorella, Alfonso Giuseppe
6	Wade, Aïssa
5	Aizawa, Naruhiko
5	Antunes, Paulo
5	Bai, Chengming
5	Ballesteros, Angel
5	Brzeziński, Tomasz
5	Caseiro, Raquel
5	Colombo, Leonardo Jesus
5	Drummond, Thiago
5	García-Naranjo, Luis C.
5	Iglesias Ponte, David
5	Iglesias, David
5	Jakimowicz, Grzegorz
5	Kosmann-Schwarzbach, Yvette
5	Kriegl, Andreas
5	Laínz, Manuel
5	Martínez Fernández, Eduardo
5	Meinrenken, Eckhard
5	Ravanpak, Zohreh
5	Rezaei-Aghdam, Adel
5	Zampini, Alessandro
4	Agore, Ana-Loredana
4	Azuaje, R.
4	Benatti, Fabio
4	Covolo, Tiffany
4	Damianou, Pantelis Andrea
4	Doğan, Keremcan
4	Facchi, Paolo
4	Gaset, Jordi
4	Ikeda, Noriaki
4	Kotov, Alexei
4	Lang, Honglei
4	Mehta, Rajan Amit
4	Pelletier, Fernand
4	Pozhidaev, Aleksandr Petrovich
4	Ramos, Arturo
4	Rañada, Manuel F.
4	Román-Roy, Narciso
4	Sosa, Diana
4	Stiénon, Mathieu
4	Sütlü, Serkan
4	Tang, Rong
4	Vaisman, Izu
4	Vilariño, Silvia
4	Watamura, Satoshi
4	Życzkowski, Karol
3	Amakawa, Kosuke
3	Anahory Simoes, Alexandre
3	Arcuş, Constantin M.
3	Bavula, Vladimir V.
3	Beltiţă, Daniel
3	Bi, Yanhui
...and 662 more Authors

all top 5

Cited in 185 Serials

83	Journal of Geometry and Physics
62	International Journal of Geometric Methods in Modern Physics
39	Journal of Mathematical Physics
36	Journal of Physics A: Mathematical and Theoretical
29	Reports on Mathematical Physics
27	Journal of Geometric Mechanics
21	Differential Geometry and its Applications
17	Journal of Algebra
16	Letters in Mathematical Physics
15	Communications in Algebra
13	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12	Annals of Physics
9	Journal of Mathematical Analysis and Applications
9	Journal of High Energy Physics
9	Journal of Algebra and its Applications
8	Journal of Pure and Applied Algebra
7	Physics Letters. A
7	Topology and its Applications
7	Journal of Nonlinear Mathematical Physics
6	Theoretical and Mathematical Physics
6	Reviews in Mathematical Physics
6	Advances in Mathematics
6	Annals of Global Analysis and Geometry
6	Open Systems & Information Dynamics
5	Communications in Mathematical Physics
5	Czechoslovak Mathematical Journal
5	Indagationes Mathematicae. New Series
5	Journal of Mathematical Sciences (New York)
5	Lobachevskii Journal of Mathematics
5	Comptes Rendus. Mathématique. Académie des Sciences, Paris
4	International Journal of Theoretical Physics
4	Nuclear Physics. B
4	Annales de l’Institut Fourier
4	Journal of Differential Equations
4	Journal of Functional Analysis
4	Mathematische Zeitschrift
4	Pacific Journal of Mathematics
4	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4	Journal of Nonlinear Science
4	Journal of Lie Theory
4	Communications in Contemporary Mathematics
4	International Journal of Quantum Information
4	Analysis and Mathematical Physics
3	Modern Physics Letters A
3	International Journal of Modern Physics A
3	Acta Mechanica
3	Physics Reports
3	Annali di Matematica Pura ed Applicata. Serie Quarta
3	Archivum Mathematicum
3	Compositio Mathematica
3	Mathematische Annalen
3	Monatshefte für Mathematik
3	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3	Journal de Mathématiques Pures et Appliquées. Neuvième Série
3	Russian Journal of Mathematical Physics
3	Transformation Groups
3	Central European Journal of Mathematics
3	Quantum Information Processing
3	Frontiers of Mathematics in China
3	Journal of Noncommutative Geometry
3	Journal of Homotopy and Related Structures
3	Asian-European Journal of Mathematics
3	Information Geometry
2	Classical and Quantum Gravity
2	Nonlinearity
2	Physics Letters. B
2	Fortschritte der Physik
2	Applied Mathematics and Computation
2	Dissertationes Mathematicae
2	Manuscripta Mathematica
2	Results in Mathematics
2	Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2	Acta Applicandae Mathematicae
2	Forum Mathematicum
2	The Journal of Geometric Analysis
2	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2	Applied Categorical Structures
2	International Journal of Computer Vision
2	Advances in Applied Clifford Algebras
2	Theory and Applications of Categories
2	Discrete and Continuous Dynamical Systems
2	Revista Matemática Complutense
2	Regular and Chaotic Dynamics
2	Journal of the European Mathematical Society (JEMS)
2	Acta Mathematica Sinica. English Series
2	Mediterranean Journal of Mathematics
2	Oberwolfach Reports
2	Journal of Mathematical Physics, Analysis, Geometry
2	Physical Review A, Third Series
2	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2	Journal of Computational Dynamics
1	International Journal of Modern Physics B
1	Archive for Rational Mechanics and Analysis
1	Discrete Mathematics
1	Indian Journal of Pure & Applied Mathematics
1	Israel Journal of Mathematics
1	Linear and Multilinear Algebra
1	Mathematical Methods in the Applied Sciences
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Reviews of Modern Physics
...and 85 more Serials

all top 5

Cited in 54 Fields

339	Differential geometry (53-XX)
224	Nonassociative rings and algebras (17-XX)
159	Global analysis, analysis on manifolds (58-XX)
151	Quantum theory (81-XX)
142	Mechanics of particles and systems (70-XX)
133	Dynamical systems and ergodic theory (37-XX)
68	Topological groups, Lie groups (22-XX)
62	Associative rings and algebras (16-XX)
57	Ordinary differential equations (34-XX)
38	Functional analysis (46-XX)
29	Group theory and generalizations (20-XX)
27	Category theory; homological algebra (18-XX)
27	Manifolds and cell complexes (57-XX)
26	Partial differential equations (35-XX)
22	Algebraic topology (55-XX)
21	Algebraic geometry (14-XX)
21	Relativity and gravitational theory (83-XX)
18	Calculus of variations and optimal control; optimization (49-XX)
16	Commutative algebra (13-XX)
16	Several complex variables and analytic spaces (32-XX)
14	Operator theory (47-XX)
9	General topology (54-XX)
9	Numerical analysis (65-XX)
7	Geometry (51-XX)
6	Combinatorics (05-XX)
6	Systems theory; control (93-XX)
5	Number theory (11-XX)
5	Linear and multilinear algebra; matrix theory (15-XX)
5	Statistics (62-XX)
5	Computer science (68-XX)
5	Information and communication theory, circuits (94-XX)
4	General and overarching topics; collections (00-XX)
4	Probability theory and stochastic processes (60-XX)
4	Statistical mechanics, structure of matter (82-XX)
4	Biology and other natural sciences (92-XX)
3	Field theory and polynomials (12-XX)
3	Real functions (26-XX)
3	Functions of a complex variable (30-XX)
3	Potential theory (31-XX)
3	Special functions (33-XX)
3	Convex and discrete geometry (52-XX)
3	Fluid mechanics (76-XX)
2	History and biography (01-XX)
2	General algebraic systems (08-XX)
2	Difference and functional equations (39-XX)
2	Approximations and expansions (41-XX)
1	Mathematical logic and foundations (03-XX)
1	\(K\)-theory (19-XX)
1	Measure and integration (28-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Abstract harmonic analysis (43-XX)
1	Mechanics of deformable solids (74-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Astronomy and astrophysics (85-XX)

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