Canonical reduced words and signed descent length enumeration in Coxeter groups

DOI10.1007/S10801-024-01359-2MaRDI QIDQ6639848

Umesh Shankar, S. Sivasubramanian

Publication date: 18 November 2024

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

zbMATH Keywords

Coxeter grouppermutation statisticssigned enumerationdescent length

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Depth in classical Coxeter groups
• The height of two types of generalised Motzkin paths
• New Euler-Mahonian statistics on permutations and words
• Signed excedance enumeration via determinants
• The generating function for total displacement
• An explicit derivation of the Möbius function for Bruhat order
• Permutation statistics of indexed permutations
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Binomial coefficients and anti-exceedances of even permutations: A combinatorial proof
• On the joint distribution of descents and signs of permutations
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• Motzkin paths, Motzkin polynomials and recurrence relations
• The depth of a permutation.
• Combinatorial aspects of continued fractions. (Reprint)
• Combinatorics of Coxeter Groups
• Some combinatorial aspects of reduced words in finite Coxeter groups
• Denert's Permutation Statistic Is Indeed Euler‐Mahonian
• Moments of \(q\)-Laguerre polynomials and the Foata-Zeilberger bijection

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