\(q\)-enumeration of type B and type D Eulerian polynomials based on parity of descents

DOI10.54550/ECA2024V4S1R3MaRDI QIDQ6659968

Umesh Shankar, Hiranya Kishore Dey, S. Sivasubramanian

Publication date: 9 January 2025

Published in: Enumerative Combinatorics and Applications (Search for Journal in Brave)

zbMATH Keywords

inversion numberEuler-Mahonian polynomialstype B Coxeter groupstype D Coxeter groups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05)

Cites Work

• Title not available (Why is that?)
• Recurrences for Eulerian polynomials of type B and type D
• Descents and one-dimensional characters for classical Weyl groups
• The distribution of descents and length in a Coxeter group
• Generating functions for alternating descents and alternating major index
• Alternating Eulerian polynomials and left peak polynomials
• The \(1 / k\)-Eulerian polynomials and \(k\)-Stirling permutations
• Théorie géométrique des polynômes eulériens
• Enumeration of rises and falls by position
• Enumeration of snakes and cycle-alternating permutations
• The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups
• Eulerian Numbers

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