A Carlitz identity for the wreath product \(C_r \wr \mathcal G_n\)

DOI10.1016/j.aam.2010.06.001zbMath1234.05020OpenAlexW1499302990MaRDI QIDQ550256

Chak-On Chow, Toufik Mansour

Publication date: 8 July 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2010.06.001

zbMATH Keywords

descentwreath productflag major index\(q\)-Eulerian polynomialCarlitz identity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

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Cites Work

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• Permutation statistics of indexed permutations
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Major and descent statistics for the even-signed permutation group
• On the descent numbers and major indices for the hyperoctahedral group
• Colored-descent representations of complex reflection groups \(G(r,p,n)\).
• Reflection Groups
• A Combinatorial Property of q-Eulerian Numbers
• Descent representations and multivariate statistics
• Descent numbers and major indices for the hyperoctahedral group