Combinatorial formulas for Kazhdan-Lusztig polynomials with respect to W-graph ideals

2017/10/12 by Qi Wang, Wang, Qi
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1710.04566

openalex publication_date 2017/10/12 · openalex created_date 2017/10/20 · openalex updated_date 2026/07/28

Abstract

Let (W,S,L) be a weighted Coxeter system and J a subset of S, Yin [12] introduced the weighted W-graph ideal E_J and the weighted Kazhdan-Lusztig polynomials \ P_x,y | x,y∈ E_J \. In this paper, we study the combinatorial formulas for P_x,y, which will extend the results of Brenti [2] and Deodhar [5].

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