Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584958 | Journal of Algebra | 2014 | 29 Pages |
Abstract
The affine Weyl group (CËn,S) can be realized as the fixed point set of the affine Weyl group (AË2nâ1,SË) under a certain group automorphism α with α(SË)=SË. Let âË be the length function of AË2nâ1. The main results of the paper are to prove the left-connectedness of any left cell of the weighted Coxeter group (CËn,âË) in the set Eλ for any nice λâÎ2n, to prove all the partitions (2nâk,k) with 1â¤kâ¤n being nice and to describe all the cells of (CËn,âË) in the set E(2nâk,k).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jian-yi Shi,