UNIMODALITY AND COLOURED HOOK FACTORISATION

DOI10.1017/S0004972715001276zbMath1330.05006OpenAlexW2292307360MaRDI QIDQ2786571

Zhicong Lin

Publication date: 15 February 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001276

zbMATH Keywords

unimodalityEulerian polynomialsderangements\(\gamma\)-positivitycoloured permutationshook factorisation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05)

Cites Work

• Excedances in classical and affine Weyl groups
• Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups
• Fix-Euler-Mahonian statistics on wreath products
• The decrease value theorem with an application to permutation statistics
• Eulerian quasisymmetric functions
• Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\)
• The symmetric and unimodal expansion of Eulerian polynomials via continued fractions
• Fix-Mahonian calculus. III: a quadruple distribution
• Permutation statistics of indexed permutations
• On the (co)homology of the partition lattice and the free Lie algebra.
• Eulerian Polynomials: From Euler’s Time to the Present
• A Coloring Problem
• The $q$-tangent and $q$-secant numbers via basic Eulerian polynomials

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