Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584611 | Journal of Algebra | 2015 | 33 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. We study the cells of the weighted Coxeter group (CËn,âË). The main results of the paper are to give an explicit description for all the cells of (CËn,âË) corresponding to the partitions k12nâk and h212nâhâ2 for all 1⩽k⩽2n and 2⩽h⩽2nâ2, and also for all the cells of (CË3,âË).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jian-yi Shi,