A counter-example to a conjecture of Lusztig

JOURNAL OF ALGEBRA

卷:323

Article

Shi, Jian-Yi

关键词: Affine Weyl groups;    Two-sided cells;    Function a;    Lusztig's conjecture;   

DOI  :  10.1016/j.jalgebra.2010.01.018

来源: Elsevier

【 摘 要 】

In Lusztig (2003) [7]. Lusztig defined two functions a and a on a Coxeter group W and conjectured that they are the same. In the present paper, we give a counter-example to Lusztig's conjecture. Then we propose a new conjecture for the description of two-sided cells of W which can be regarded as an improvement of Lusztig's conjecture. Some examples are given to support our conjecture. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free