Proof of Stasinski and Voll's Hyperoctahedral Group Conjecture

zbMath1406.05010arXiv1408.7105MaRDI QIDQ4616103

Aaron Landesman

Publication date: 30 January 2019

Full work available at URL: https://arxiv.org/abs/1408.7105

zbMATH Keywords

Poincaré polynomialssigned permutationshyperoctahedral groups

Mathematics Subject Classification ID

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

Related Items (4)

Odd and even major indices and one-dimensional characters for classical Weyl groups ⋮ Proof of a conjecture of Klopsch-Voll on Weyl groups of type 𝐴 ⋮ Odd length in Weyl groups ⋮ Sign-twisted Poincaré series and odd inversions in Weyl groups

Cites Work

• A new statistic on the hyperoctahedral groups
• Combinatorics of Coxeter Groups
• Igusa-type functions associated to finite formed spaces and their functional equations
• Proof of a conjecture of Klopsch-Voll on Weyl groups of type 𝐴
• Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B

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