Signed Mahonian polynomials for classical Weyl groups

DOI10.1016/j.ejc.2004.09.003zbMath1082.05003arXivmath/0404300OpenAlexW2094753236MaRDI QIDQ819006

Riccardo Biagioli

Publication date: 22 March 2006

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

Full work available at URL: https://arxiv.org/abs/math/0404300

zbMATH Keywords

Coxeter groupMahonian statisticEulerian polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (7)

Odd and even major indices and one-dimensional characters for classical Weyl groups ⋮ Odd length for even hyperoctahedral groups and signed generating functions ⋮ Signed Mahonian on parabolic quotients of colored permutation groups ⋮ Weighted enumerations on projective reflection groups ⋮ Signed Euler-Mahonian identities ⋮ Enumeration by associated reflections on Coxeter systems ⋮ Signed Mahonian polynomials for major and sorting indices

Cites Work

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• Permutation statistics and partitions
• The signed Eulerian numbers
• An involution for signed Eulerian numbers
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Signed Mahonians
• A descent basis for the coinvariant algebra of type \(D\)
• Descents and one-dimensional characters for classical Weyl groups
• A Combinatorial Property of q-Eulerian Numbers
• Descent representations and multivariate statistics
• Invariant algebras and major indices for classical Weyl groups
• On the Netto Inversion Number of a Sequence
• The flag major index and group actions on polynomial rings.
• Descent numbers and major indices for the hyperoctahedral group

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