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Kazhdan-Lusztig polynomials of boolean elements

2011/11/12 by Pietro Mongelli, Mongelli, Pietro
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1111.2945

openalex publication_date 2011/11/12 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We give closed combinatorial product formulas for Kazhdan-Lusztig poynomials and their parabolic analogue of type q in the case of boolean elements, introduced in [M. Marietti, Boolean elements in Kazhdan-Lusztig theory, J. Algebra 295 (2006)], in Coxeter groups whose Coxeter graph is a tree.

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