Specializations of colored quasisymmetric functions

zbMath1505.05135MaRDI QIDQ2680928

Vassilis-Dionyssis Moustakas

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2021/49.html

zbMATH Keywords

generating functionmajor indexspecializationquasisymmetric functiondescent setEulerian polynomialEuler-Mahonian distribution

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Cites Work

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• Statistics on wreath products, perfect matchings, and signed words
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• \(q\)-Eulerian polynomials arising from Coxeter groups
• Euler-Mahonian parameters on colored permutation groups
• Gamma-positivity in combinatorics and geometry
• Specializations of colored quasisymmetric functions and Euler-Mahonian identities
• The Eulerian distribution on the involutions of the hyperoctahedral group is unimodal
• Character formulas and descents for the hyperoctahedral group
• Enumerating wreath products via Garsia-Gessel bijections
• Euler-Mahonian statistics via polyhedral geometry
• Fonctions symétriques et séries hypergéométriques basiques multivariées
• On q-Derangement Numbers

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