Poincaré Polynomials of Odd Diagram Classes

DOI10.1137/22M1470517zbMath1497.05002arXiv2110.04723OpenAlexW3206559158MaRDI QIDQ5866454

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Publication date: 21 September 2022

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

Full work available at URL: https://arxiv.org/abs/2110.04723

zbMATH Keywords

Poincaré polynomialBruhat orderKazhdan-Lusztig polynomialpalindromic polynomialodd diagram class

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11)

Cites Work

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• Criterion for smoothness of Schubert varieties in Sl(n)/B
• Representations of Coxeter groups and Hecke algebras
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• Kazhdan-Lusztig and \(R\)-polynomials from a combinatorial point of view.
• Self-dual intervals in the Bruhat order
• Odd length: odd diagrams and descent classes
• Combinatorics of Coxeter Groups
• A generalization of the Kostant—Macdonald identity
• Odd diagrams, Bruhat order, and pattern avoidance
• 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
• Optimal assignments in an ordered set: An application of matroid theory

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