The Eulerian distribution on the fixed-point free involutions of the hyperoctahedral group

DOI10.1007/s10801-022-01195-2zbMath1512.05010OpenAlexW4313325227MaRDI QIDQ6100541

Lily Li Liu, Jie Cao

Publication date: 12 May 2023

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-022-01195-2

zbMATH Keywords

symmetryinvolutionhyperoctahedral groupunimodality\(\gamma\)-positivity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Combinatorial inequalities (05A20)

Related Items (1)

The Eulerian distribution on \(k\)-colored involutions

Cites Work

• Unnamed Item
• Unnamed Item
• Colored posets and colored quasisymmetric functions
• Permutation statistics on involutions
• Similar constructions for Young tableaux and involutions, and their application to shiftable tableaux
• Some aspects of groups acting on finite posets
• On the Neggers-Stanley conjecture and the Eulerian polynomials
• Counting permutations with given cycle structure and descent set
• Cycle type and descent set in wreath products
• Four correspondences between graphs and generalized Young tableaux
• Gamma-positivity in combinatorics and geometry
• The Eulerian distribution on the involutions of the hyperoctahedral group is indeed \(\gamma \)-positive
• The Eulerian distribution on the involutions of the hyperoctahedral group is unimodal
• Gamma-positivity of variations of Eulerian polynomials
• Character formulas and descents for the hyperoctahedral group
• The Eulerian distribution on involutions is indeed \(\gamma\)-positive
• The Eulerian distribution on involutions is indeed unimodal
• Coloured peak algebras and Hopf algebras.
• Théorie géométrique des polynômes eulériens
• A note on three types of quasisymmetric functions
• Longest Increasing and Decreasing Subsequences
• Fonctions symétriques et séries hypergéométriques basiques multivariées
• La correspondance de Robinson
• Quelques remarques sur une Construction de Schensted.
• On the Representations of the Symmetric Group

This page was built for publication: The Eulerian distribution on the fixed-point free involutions of the hyperoctahedral group