On the combinatorial invariance of Kazhdan-Lusztig polynomials

被引：7

作者：

Incitti, Federico ^{[1
]}

机构：

[1] Inst Mittag Leffler, SE-18260 Djursholm, Sweden

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2006年 / 113卷 / 07期

关键词：

Coxeter group; symmetric group; Bruhat order; Kazhdan-Lusztig polynomial; combinatorial invariance conjecture;

D O I：

10.1016/j.jcta.2005.12.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we solve the conjecture about the combinatorial invariance of Kazhdan-Lusztig polynomials for the first open cases, showing that it is true for intervals of length 5 and 6 in the symmetric group. We also obtain explicit formulas for the R-polynomials and for the Kazhdan-Lusztig polynomials associated with any interval of length 5 in any Coxeter group, showing in particular what they look like in the symmetric group. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1332 / 1350

页数：19

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