A new statistic on the hyperoctahedral groups

zbMath1295.05038arXiv1303.0990MaRDI QIDQ396891

Alexander Stasinski, Christopher Voll

Publication date: 14 August 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0990

zbMATH Keywords

generating functionsdescent setshyperoctahedral groupssign reversing involutionssigned permutation statistics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Other Dirichlet series and zeta functions (11M41)

Related Items (14)

Enumerating traceless matrices over compact discrete valuation rings ⋮ Odd diagrams, Bruhat order, and pattern avoidance ⋮ On Denert's statistic ⋮ Odd length: odd diagrams and descent classes ⋮ Odd and even major indices and one-dimensional characters for classical Weyl groups ⋮ Odd length for even hyperoctahedral groups and signed generating functions ⋮ Proof of a conjecture of Klopsch-Voll on Weyl groups of type 𝐴 ⋮ The cotype zeta function of \(\mathbb{Z}^d\) ⋮ Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes, II: Groups of type F, G, and H ⋮ Odd length in Weyl groups ⋮ Proof of Stasinski and Voll's Hyperoctahedral Group Conjecture ⋮ Sign-twisted Poincaré series and odd inversions in Weyl groups ⋮ Zeta functions of groups and rings -- functional equations and analytic uniformity ⋮ Univariate and bivariate zeta functions of unipotent group schemes of type G

Cites Work

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• Signed words and permutations. V: A sextuple distribution
• Signed permutation statistics
• Equi-distribution over descent classes of the hyperoctahedral group
• Combinatorics of Coxeter Groups
• Igusa-type functions associated to finite formed spaces and their functional equations
• Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B
• Descent numbers and major indices for the hyperoctahedral group

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