Signed alternating descent enumeration in classical Weyl groups

DOI10.1016/j.disc.2023.113540zbMath1519.05255OpenAlexW4379879995MaRDI QIDQ6172290

Hiranya Kishore Dey, Sivaramakrishnan Sivasubramanian

Publication date: 19 July 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113540

zbMATH Keywords

generating functionssymmetric groupEulerian polynomialclassical Weyl groupssigned enumerationalternating descent

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric groups (20B30) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Signed excedance enumeration in the hyperoctahedral group
• Enumeration of permutations by number of alternating descents
• A recurrence relation for the ``inv analogue of \(q\)-Eulerian polynomials
• Variations on descents and inversions in permutations
• Permutation statistics and partitions
• The signed Eulerian numbers
• An involution for signed Eulerian numbers
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Signed Mahonians
• Binomial coefficients and anti-exceedances of even permutations: A combinatorial proof
• Descents and one-dimensional characters for classical Weyl groups
• Generating functions for alternating descents and alternating major index
• Alternating Eulerian polynomials and left peak polynomials
• Eulerian central limit theorems and Carlitz identities in positive elements of classical Weyl groups
• Positivity and divisibility of enumerators of alternating descents
• Théorie géométrique des polynômes eulériens
• The signed Eulerian numbers on involutions
• Eulerian Numbers

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