| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4586935 | Journal of Algebra | 2010 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
