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Invariance Combinatoire des Polynomes de Kazhdan-Lusztig sur les intervalles partant de l'origine

2003/12/11 by Ewan Delanoy, Delanoy, Ewan
Mathematics · #06A07 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.CO #msc:06A07

paper · pdf · doi:10.48550/arxiv.math/0312237

28 pages 0 figures

openalex publication_date 2003/12/11 · arxiv created 2004/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that for Bruhat intervals starting from the origin in simply-laced Coxeter groups the conjecture of Lusztig and Dyer holds, that is, the R-polynomials and the Kazhdan-Lusztig polynomials defined on [e,u] only depend on the isomorphism type of [e,u].

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