Leading coefficients of Kazhdan-Lusztig polynomials and fully commutative elements

被引：6
|
作者：
Green, R. M. [1 ]
机构：
[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2009年 / 30卷 / 02期
关键词：
Kazhdan-Lusztig polynomials; Affine Weyl groups; Fully commutative elements; 0-1; conjecture; COXETER GROUPS; REPRESENTATIONS; ALGEBRAS; FINITE;
D O I：
10.1007/s10801-008-0156-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let W be a Coxeter group of type (A) over tilde (n-1). We show that the leading coefficient, mu(x, w), of the Kazhdan-Lusztig polynomial P-x,P-w is always equal to 0 or 1 if x is fully commutative (and w is arbitrary).
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页码：165 / 171
页数：7
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