Found 113 Documents (Results 1–100)
Poset modules of the 0-Hecke algebras and related quasisymmetric power sum expansions. (English) Zbl 07878018
The weak order on the hyperoctahedral group and the monomial basis for the Hopf algebra of signed permutations. (English) Zbl 1537.20093
Reviewer: Egle Bettio (Venezia)
Powersum bases in quasisymmetric functions and quasisymmetric functions in non-commuting variables. (English) Zbl 1532.05170
Identities and bases in the sylvester and Baxter monoids. (English) Zbl 1540.20113
Reviewer: Peter Kostolányi (Bratislava)
Refined consecutive pattern enumeration via a generalized cluster method. (English) Zbl 1516.05007
Reviewer: Juanjo Rué Perna (Barcelona)
A lifting of the Goulden-Jackson cluster method to the Malvenuto-Reutenauer algebra. (English) Zbl 1504.05017
Homological properties of 0-Hecke modules for dual immaculate quasisymmetric functions. (English) Zbl 07609811
Quadri-algebras, preLie algebras, and the Catalan family of Lie idempotents. (English) Zbl 1507.16039
Reviewer: Dmitry Artamonov (Moskva)
Weak stuffle algebras. (English) Zbl 1493.05298
Some relational structures with polynomial growth and their associated algebras. II: Finite generation. (English) Zbl 1490.05277
MSC:
05E16
Noncommutative symmetric functions, Lie series and descent algebras. (English) Zbl 1493.16035
Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 119-178 (2021).
Modules of the 0-Hecke algebra arising from standard permuted composition tableaux. (English) Zbl 1498.05279
The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer. (English) Zbl 1448.05209
Free quadri-algebras and dual quadri-algebras. (English) Zbl 1484.16046
Reviewer: Serban Raianu (Carson)
Three interacting families of Fuss-Catalan posets. (English) Zbl 1451.05247
Reviewer: Laura Colmenarejo Hernando (Leipzig)
On some tree-indexed series with one and two parameters. (English) Zbl 1445.05027
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 431-443 (2020).
Duplicial algebras, parking functions, and Lagrange inversion. (English) Zbl 1457.16031
Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 1. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 31, 263-290 (2020).
Shuffle quadri-algebras and concatenation. (English) Zbl 1456.17002
Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 1. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 31, 1-27 (2020).
Reviewer: Loïc Foissy (Calais)
MSC:
17A30
Hecke algebras of simply-laced type with independent parameters. (English) Zbl 1453.20009
Reviewer: Matthew Fayers (London)
A two-sided analogue of the Coxeter complex. (English. French summary) Zbl 1440.05257
Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 991-1002 (2020).
Parabolic double cosets in Coxeter groups. (English. French summary) Zbl 1435.20052
Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 275-286 (2020).
Hopf algebras of \(m\)-permutations, \((m + 1)\)-ary trees, and \(m\)-parking functions. (English) Zbl 1436.16047
Reviewer: Loïc Foissy (Calais)
Lumpings of algebraic Markov chains arise from subquotients. (English) Zbl 1473.60106
Reviewer: Nikolas Tapia (Berlin)
Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials. (English) Zbl 1407.16032
A two-sided analogue of the Coxeter complex. (English) Zbl 1441.05243
Reviewer: Jorge Vargas (Córdoba)
Zigzag diagrams and Martin boundary. (English) Zbl 1441.60011
Reviewer: Ngoc Mai Tran (Bonn)
Permutrees. (English) Zbl 1388.05039
Reviewer: Loïc Foissy (Calais)
About the packed words Hopf algebra WMat. (A propos de l’algèbre de Hopf des mots tassés WMat.) (French. English summary) Zbl 1420.16024
MSC:
16T30
Combinatorics of Poincaré’s and Schröder’s equations. (English) Zbl 1436.16046
Fauvet, Frédéric (ed.) et al., Resurgence, physics and numbers, Pisa, Italy, May 18–22, 2015. Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 20. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore. 329-378 (2017).
Permutrees. (English) Zbl 1378.05027
Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 987-993 (2017).
The Hopf algebra of finite topologies and mould composition. (Algébre de Hopf des topologies finies et composition moulienne.) (English. French summary) Zbl 1431.16036
A divisibility result in combinatorics of generalized braids. (English) Zbl 1369.05213
MSC:
05E15
20F55
Deformations of shuffles and quasi-shuffles. (Déformations des algèbres de battages et quasi-battages.) (English. French summary) Zbl 1347.05243
Combinatorial Hopf algebras from PROs. (English) Zbl 1351.05233
Reviewer: David Grabiner (Columbia)
Pluriassociative algebras. II: The polydendriform operad and related operads. (English) Zbl 1337.05112
Hopf algebra structure on packed square matrices. (English) Zbl 1335.16022
Reviewer: Loïc Foissy (Calais)
Preordered forests, packed words and contraction algebras. (English. French summary) Zbl 1298.05326
Deformation of the Hopf algebra of plane posets. (English) Zbl 1294.16024
Reviewer: Earl J. Taft (New Brunswick)
Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach. (English) Zbl 1281.05040
A polynomial realization of the Hopf algebra of uniform block permutations. (English) Zbl 1291.16029
Reviewer: Loïc Foissy (Calais)
Mould calculus, polyhedral cones, and characters of combinatorial Hopf algebras. (English) Zbl 1290.16037
Reviewer: Loïc Foissy (Calais)
Natural endomorphisms of shuffle algebras. (English) Zbl 1298.16021
Reviewer: Jörg Feldvoss (Mobile)
Natural endomorphisms of quasi-shuffle Hopf algebras. (English. French summary) Zbl 1266.05175
Quivers of monoids with basic algebras. (English) Zbl 1292.20069
Reviewer: Volodymyr Mazorchuk (Uppsala)
Shuffle bialgebras. (English. French summary) Zbl 1239.16032
Reviewer: Earl J. Taft (New Brunswick)
Noncommutative symmetric functions. VII: Free quasi-symmetric functions revisited. (English) Zbl 1233.05200
Hopf algebras of diagrams. (English) Zbl 1233.05199
Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras. (English) Zbl 1243.16039
Skew quasisymmetric Schur functions and noncommutative Schur functions. (English) Zbl 1214.05170
Reviewer: Matthew Fayers (London)
MSC:
05E05
The \((1-\mathbb{E})\)-transform in combinatorial Hopf algebras. (English) Zbl 1228.05290
Reviewer: Earl J. Taft (New Brunswick)
Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions. (English) Zbl 1231.05278
From left modules to algebras over an operad: application to combinatorial Hopf algebras. (English) Zbl 1206.18010
Reviewer: Vesselin Drensky (Sofia)
Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux. (English) Zbl 1236.05202
Inversion of some series of free quasi-symmetric functions. (English) Zbl 1184.05011
Reviewer: Ping Sun (Shenyang)
Witt vectors. I. (English) Zbl 1221.13036
Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 319-472 (2009).
Reviewer: Florin Nicolae (Berlin)
A one-parameter family of dendriform identities. (English) Zbl 1203.16024
Reviewer: Chen Yuqun (Guangzhou)
Commutative combinatorial Hopf algebras. (English) Zbl 1181.16031
Reviewer: Earl J. Taft (New Brunswick)
A noncommutative symmetric system over the Grossman-Larson Hopf algebra of labeled rooted trees. (English) Zbl 1152.05057
MSC:
05E05
16W30
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