The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals

被引：7

作者：

Marietti, Mario ^{[1
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche, I-60131 Ancona, Italy

来源：

ADVANCES IN MATHEMATICS | 2018年 / 335卷

关键词：

Kazhdan-Lusztig polynomials; Coxeter groups; Special matchings; SPECIAL MATCHINGS;

D O I：

10.1016/j.aim.2018.07.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to prove a conjecture related to the Combinatorial Invariance Conjecture of Kazhdan-Lusztig polynomials, in the parabolic setting, for lower intervals in every arbitrary Coxeter group. This result improves and generalizes, among other results, the main results of Brenti et al. (2006) [6], Marietti (2016) [21]. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：180 / 210

页数：31

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