×

Kirillov, Alexander A. jun.

Author ID: kirillov.alexander-a-jun Recent zbMATH articles by "Kirillov, Alexander A. jun."
Published as: Kirillov, Alexander jun.; Kirillov, Alexander A. jun.; Kirillov, A. A. jun.; Kirillov, A. jun.; Kirillov, Alexander jun.; Kirillov, A.
Homepage: http://www.math.stonybrook.edu/~kirillov/
External Links: MGP · Wikidata · Math-Net.Ru

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 1,208 times in 961 Documents Cited by Year
Lectures on tensor categories and modular functors. Zbl 0965.18002
Bakalov, B.; Kirillov, A. jun.
383
2001
On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories. Zbl 1024.17013
Kirillov, Alexander jun.; Ostrik, Viktor
150
2002
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
124
1998
Braided tensor categories and extensions of vertex operator algebras. Zbl 1388.17014
Huang, Yi-Zhi; Kirillov, Alexander jun.; Lepowsky, James
97
2015
On an inner product in modular tensor categories. Zbl 0861.05065
Kirillov, Alexander A. jun.
46
1996
An introduction to Lie groups and Lie algebras. Zbl 1153.17001
Kirillov, Alexander jun.
39
2008
Modular categories and orbifold models. Zbl 1073.17011
Kirillov, Alexander jun.
38
2002
Macdonald’s polynomials and representations of quantum groups. Zbl 0833.17007
Etingof, Pavel I.; Kirillov, Alexander A. jun.
38
1994
Quiver representations and quiver varieties. Zbl 1355.16002
Kirillov, Alexander jun.
34
2016
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
32
1995
On the polynomial invariants of the elasticity tensor. Zbl 0808.73007
Boehler, J. P.; Kirillov, A. A. jun.; Onat, E. T.
32
1994
Lectures on affine Hecke algebras and Macdonald’s conjectures. Zbl 0884.05100
Kirillov, Alexander A. jun.
31
1997
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
28
1998
Representations of affine Lie algebras, parabolic differential equations, and Lamé functions. Zbl 0811.17026
Etingof, Pavel I.; Kirillov, Alexander A. jun.
28
1994
On the Lego-Teichmüller game. Zbl 0999.57021
Bakalov, B.; Kirillov, A. jun.
26
2000
Representation-theoretic proof of the inner product and symmetry identities for Macdonald’s polynomials. Zbl 0859.17005
Etingof, Pavel I.; Kirillov, Alexander A. jun.
12
1996
A unified representation-theoretic approach to special functions. Zbl 0868.33010
Kirillov, A. A. jun.; Etingof, P. I.
11
1994
On the affine analogue of Jack and Macdonald polynomials. Zbl 0873.33011
Etingof, Pavel I.; Kirillov, Alexander A. jun.
11
1995
On Cherednik-Macdonald-Mehta identities. Zbl 0897.05089
Etingof, Pavel; Kirillov, Alexander jun.
10
1998
Classical transitions with the topological number changing in the early universe. Zbl 1536.83173
Gani, Vakhid A.; Kirillov, Alexander A.; Rubin, Sergey G.
9
2018
Foundations of differentiable manifolds and Lie groups. (Osnovy teorii gladkikh mnogoobrazij i grupp Li). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. (Osnovy teorii gladkikh mnogoobrazij i grupp Li.) Zbl 0691.58005
Warner, Frank W.
8
1987
An introduction to Lie groups and Lie algebras. Reprint of the 2008 hardback edition. Zbl 1360.22001
Kirillov, Alexander jun.
8
2017
Factorization of Kazhdan-Lusztig elements for Grassmannians. Zbl 1002.20004
Kirillov, Alexander jun.; Lascoux, Alain
7
2000
Coxeter elements and periodic Auslander-Reiten quiver. Zbl 1231.20035
Kirillov, A.; Thind, J.
7
2010
On piecewise linear cell decompositions. Zbl 1283.57026
Kirillov, Alexander jun.
6
2012
On inner product in modular tensor categories. II: Inner product on conformal blocks and affine inner product identities. Zbl 0905.05084
Kirillov, Alexander A. jun.
4
1998
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
2
1989
McKay correspondence and equivariant sheaves on \(\mathbb P^1\). Zbl 1171.14302
Kirillov, Alexander jun.
2
2006
Canonical basis and homology of local systems. Zbl 0973.17016
Frenkel, Igor; Kirillov, Alexander jun.; Varchenko, Alexander
2
1997
Factorization homology and 4D TQFT. Zbl 1498.57029
Kirillov, Alexander jun.; Tham, Ying Hong
1
2022
Coxeter elements and root bases. Zbl 1281.17013
Kirillov, A. jun.; Thind, J.
1
2011
Factorization homology and 4D TQFT. Zbl 1498.57029
Kirillov, Alexander jun.; Tham, Ying Hong
1
2022
Classical transitions with the topological number changing in the early universe. Zbl 1536.83173
Gani, Vakhid A.; Kirillov, Alexander A.; Rubin, Sergey G.
9
2018
An introduction to Lie groups and Lie algebras. Reprint of the 2008 hardback edition. Zbl 1360.22001
Kirillov, Alexander jun.
8
2017
Quiver representations and quiver varieties. Zbl 1355.16002
Kirillov, Alexander jun.
34
2016
Braided tensor categories and extensions of vertex operator algebras. Zbl 1388.17014
Huang, Yi-Zhi; Kirillov, Alexander jun.; Lepowsky, James
97
2015
On piecewise linear cell decompositions. Zbl 1283.57026
Kirillov, Alexander jun.
6
2012
Coxeter elements and root bases. Zbl 1281.17013
Kirillov, A. jun.; Thind, J.
1
2011
Coxeter elements and periodic Auslander-Reiten quiver. Zbl 1231.20035
Kirillov, A.; Thind, J.
7
2010
An introduction to Lie groups and Lie algebras. Zbl 1153.17001
Kirillov, Alexander jun.
39
2008
McKay correspondence and equivariant sheaves on \(\mathbb P^1\). Zbl 1171.14302
Kirillov, Alexander jun.
2
2006
On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories. Zbl 1024.17013
Kirillov, Alexander jun.; Ostrik, Viktor
150
2002
Modular categories and orbifold models. Zbl 1073.17011
Kirillov, Alexander jun.
38
2002
Lectures on tensor categories and modular functors. Zbl 0965.18002
Bakalov, B.; Kirillov, A. jun.
383
2001
On the Lego-Teichmüller game. Zbl 0999.57021
Bakalov, B.; Kirillov, A. jun.
26
2000
Factorization of Kazhdan-Lusztig elements for Grassmannians. Zbl 1002.20004
Kirillov, Alexander jun.; Lascoux, Alain
7
2000
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
124
1998
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
28
1998
On Cherednik-Macdonald-Mehta identities. Zbl 0897.05089
Etingof, Pavel; Kirillov, Alexander jun.
10
1998
On inner product in modular tensor categories. II: Inner product on conformal blocks and affine inner product identities. Zbl 0905.05084
Kirillov, Alexander A. jun.
4
1998
Lectures on affine Hecke algebras and Macdonald’s conjectures. Zbl 0884.05100
Kirillov, Alexander A. jun.
31
1997
Canonical basis and homology of local systems. Zbl 0973.17016
Frenkel, Igor; Kirillov, Alexander jun.; Varchenko, Alexander
2
1997
On an inner product in modular tensor categories. Zbl 0861.05065
Kirillov, Alexander A. jun.
46
1996
Representation-theoretic proof of the inner product and symmetry identities for Macdonald’s polynomials. Zbl 0859.17005
Etingof, Pavel I.; Kirillov, Alexander A. jun.
12
1996
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
32
1995
On the affine analogue of Jack and Macdonald polynomials. Zbl 0873.33011
Etingof, Pavel I.; Kirillov, Alexander A. jun.
11
1995
Macdonald’s polynomials and representations of quantum groups. Zbl 0833.17007
Etingof, Pavel I.; Kirillov, Alexander A. jun.
38
1994
On the polynomial invariants of the elasticity tensor. Zbl 0808.73007
Boehler, J. P.; Kirillov, A. A. jun.; Onat, E. T.
32
1994
Representations of affine Lie algebras, parabolic differential equations, and Lamé functions. Zbl 0811.17026
Etingof, Pavel I.; Kirillov, Alexander A. jun.
28
1994
A unified representation-theoretic approach to special functions. Zbl 0868.33010
Kirillov, A. A. jun.; Etingof, P. I.
11
1994
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
2
1989
Foundations of differentiable manifolds and Lie groups. (Osnovy teorii gladkikh mnogoobrazij i grupp Li). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. (Osnovy teorii gladkikh mnogoobrazij i grupp Li.) Zbl 0691.58005
Warner, Frank W.
8
1987
all top 5

Cited by 998 Authors

32 Creutzig, Thomas
31 Runkel, Ingo
28 Schweigert, Christoph
27 Rowell, Eric C.
22 Varchenko, Alexander Nikolaevich
21 Etingof, Pavel Il’ich
20 Fuchs, Jürgen
18 Wang, Zhenghan
16 Kong, Liang
15 Ng, Siu-Hung
13 Dong, Chongying
12 Plavnik, Julia Yael
11 Fehér, László Gy.
11 Kirillov, Alexander A. jun.
11 McRae, Robert
11 Olive, Marc
11 Stokman, Jasper V.
10 Davydov, Alekseĭ Aleksandrovich
10 Galindo Martínez, César Neyit
10 Kolev, Boris
9 Bruillard, Paul
9 Ostrik, Victor Valentinovich
9 Yang, Jinwei
8 Cox, Ben Lewis
8 Desmorat, Boris
8 Desmorat, Rodrigue
8 Huang, Yi-Zhi
8 Kanade, Shashank
8 Nikshych, Dmitri
8 Shimizu, Kenichi
8 van Diejen, Jan Felipe
7 Lin, Xingjun
7 Linshaw, Andrew Ross
7 Naaijkens, Pieter
7 Razumov, Alexander V.
7 Reshetikhin, Nikolai Yu.
7 Schopieray, Andrew
7 Snyder, Noah
7 Zhang, Qing
6 Andersen, Jørgen Ellegaard
6 Coquereaux, Robert
6 Frenkel, Igor B.
6 Jones, Corey
6 Kawahigashi, Yasuyuki
6 Lam, Ching Hung
6 Li, Haisheng
6 Naidu, Deepak
6 Ridout, David
5 Bonderson, Parsa
5 Brenti, Francesco
5 Carqueville, Nils
5 Felder, Giovanni
5 Futorny, Vyacheslav M.
5 Gui, Bin
5 Gustafson, Paul P.
5 Pusztai, Béla Gábor
5 Schaumann, Gregor
5 Vlaar, Bart
5 Walton, Chelsea
5 Wang, Yilong
5 Zheng, Hao
4 Arakawa, Tomoyuki
4 Bischoff, Marcel
4 Buican, Matthew
4 Cohen, Miriam
4 Cui, Shawn Xingshan
4 Dong, Jingcheng
4 Douglas, Christopher L.
4 Evans, David E.
4 Feĭgin, Boris L’vovich
4 Gaetz, Christian
4 Gainutdinov, Azat M.
4 Gannon, Terry
4 Gawędzki, Krzysztof
4 Geer, Nathan
4 Gelaki, Shlomo
4 Giorgetti, Luca
4 Grossman, Pinhas
4 Jiao, Xiangyu
4 Johnson-Freyd, Theo
4 Lacabanne, Abel
4 Langmann, Edwin
4 Li, Libin
4 Mackaay, Marco
4 Martins, Renato Alessandro
4 Nawata, Satoshi
4 Nishino, Akinori
4 Patureau-Mirand, Bertrand
4 Penneys, David
4 Ren, Li
4 Rimányi, Richárd
4 Rupert, Matthew
4 Schauenburg, Peter
4 Semikhatov, Alexei M.
4 Shakirov, Shamil
4 Sun, Yi
4 Szabo, Richard J.
4 Szegedy, Lóránt
4 Tubbenhauer, Daniel
4 Westreich, Sara
...and 898 more Authors
all top 5

Cited in 161 Serials

113 Communications in Mathematical Physics
76 Journal of Algebra
62 Advances in Mathematics
41 Journal of High Energy Physics
35 Journal of Mathematical Physics
34 Letters in Mathematical Physics
29 Nuclear Physics. B
26 Selecta Mathematica. New Series
25 Journal of Pure and Applied Algebra
16 Proceedings of the American Mathematical Society
15 Journal of Knot Theory and its Ramifications
14 Transactions of the American Mathematical Society
14 Algebras and Representation Theory
13 Journal of Geometry and Physics
13 Duke Mathematical Journal
13 Quantum Topology
12 Communications in Algebra
12 Mathematische Zeitschrift
12 Communications in Contemporary Mathematics
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Journal of Physics A: Mathematical and Theoretical
11 Reviews in Mathematical Physics
11 Algebraic & Geometric Topology
10 Transformation Groups
9 Journal of Elasticity
8 Theoretical and Mathematical Physics
8 Inventiones Mathematicae
7 Compositio Mathematica
7 Journal of the American Mathematical Society
7 International Journal of Mathematics
7 Annals of Physics
7 Bulletin of the American Mathematical Society. New Series
7 SciPost Physics
6 Journal of Algebraic Combinatorics
6 Representation Theory
5 Journal of the London Mathematical Society. Second Series
5 Mathematics and Mechanics of Solids
5 Annales Henri Poincaré
5 Journal of Algebra and its Applications
4 Journal of Statistical Physics
4 Journal of Functional Analysis
4 Pacific Journal of Mathematics
4 Advances in Applied Mathematics
3 Bulletin of the London Mathematical Society
3 Canadian Journal of Mathematics
3 Glasgow Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 Proceedings of the London Mathematical Society. Third Series
3 Topology and its Applications
3 Indagationes Mathematicae. New Series
3 Applied Categorical Structures
3 Theory and Applications of Categories
3 The Ramanujan Journal
3 Acta Mathematica Sinica. English Series
3 Foundations of Computational Mathematics
3 Journal of Statistical Mechanics: Theory and Experiment
3 Journal of Noncommutative Geometry
3 Arnold Mathematical Journal
2 International Journal of Modern Physics A
2 International Journal of Engineering Science
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Russian Mathematical Surveys
2 Indiana University Mathematics Journal
2 Mathematische Annalen
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 European Journal of Combinatorics
2 IMRN. International Mathematics Research Notices
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Experimental Mathematics
2 Journal of Lie Theory
2 Séminaire Lotharingien de Combinatoire
2 Geometry & Topology
2 Journal of Nonlinear Mathematical Physics
2 Journal of the Australian Mathematical Society
2 Central European Journal of Mathematics
2 International Electronic Journal of Algebra (IEJA)
2 Journal of Topology
2 Japanese Journal of Mathematics. 3rd Series
2 Armenian Journal of Mathematics
2 Science China. Mathematics
2 Kyoto Journal of Mathematics
2 Analysis and Mathematical Physics
2 Forum of Mathematics, Sigma
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 Physics Letters. B
1 Physics Reports
1 Reports on Mathematical Physics
1 Fortschritte der Physik
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
...and 61 more Serials
all top 5

Cited in 52 Fields

388 Quantum theory (81-XX)
350 Nonassociative rings and algebras (17-XX)
305 Category theory; homological algebra (18-XX)
177 Associative rings and algebras (16-XX)
147 Group theory and generalizations (20-XX)
114 Manifolds and cell complexes (57-XX)
90 Algebraic geometry (14-XX)
72 Special functions (33-XX)
58 Functional analysis (46-XX)
57 Combinatorics (05-XX)
52 Differential geometry (53-XX)
49 Topological groups, Lie groups (22-XX)
46 Statistical mechanics, structure of matter (82-XX)
36 Several complex variables and analytic spaces (32-XX)
34 Global analysis, analysis on manifolds (58-XX)
31 Dynamical systems and ergodic theory (37-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
25 Number theory (11-XX)
25 Mechanics of deformable solids (74-XX)
24 Commutative algebra (13-XX)
22 Relativity and gravitational theory (83-XX)
21 Algebraic topology (55-XX)
18 Partial differential equations (35-XX)
17 Mechanics of particles and systems (70-XX)
11 \(K\)-theory (19-XX)
11 Difference and functional equations (39-XX)
11 Probability theory and stochastic processes (60-XX)
10 Functions of a complex variable (30-XX)
9 Ordinary differential equations (34-XX)
8 Abstract harmonic analysis (43-XX)
8 Computer science (68-XX)
6 Field theory and polynomials (12-XX)
6 Convex and discrete geometry (52-XX)
5 Numerical analysis (65-XX)
4 Operator theory (47-XX)
4 Fluid mechanics (76-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Approximations and expansions (41-XX)
3 Geometry (51-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 Statistics (62-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.