Eulerian quasisymmetric functions and cyclic sieving

DOI10.1016/j.aam.2010.01.013zbMath1227.05050arXiv0909.3143OpenAlexW1984929877MaRDI QIDQ534209

Michelle L. Wachs, John Shareshian, Bruce E. Sagan

Publication date: 17 May 2011

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

Full work available at URL: https://arxiv.org/abs/0909.3143

zbMATH Keywords

major indexexcedancecyclic sievingquasisymmetric functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Group actions on combinatorial structures (05E18)

Related Items

Chromatic quasisymmetric functions ⋮ Eulerian quasisymmetric functions ⋮ Around the \(q\)-binomial-Eulerian polynomials ⋮ Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups ⋮ Laurent polynomials, Eulerian numbers, and Bernstein's theorem ⋮ Unimodality of Eulerian quasisymmetric functions ⋮ \(P\)-partitions and \(p\)-positivity ⋮ Skew characters and cyclic sieving

Cites Work

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• Springer's regular elements over arbitrary fields
• 𝑞-Eulerian polynomials: Excedance number and major index
• Bimahonian distributions

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