The cells of the affine Weyl group (C)over-tilden in a certain quasi-split case, II

JOURNAL OF ALGEBRA

卷:404

Article

Shi, Jian-yi

关键词: Affine Weyl group;    Weighted Coxeter group;    Quasi-split case;    Cells;    Partitions;   

DOI  :  10.1016/j.jalgebra.2014.01.031

来源: Elsevier

【 摘 要 】

The affine Weyl group ((C) over tilde (n), S) can be realized as the fixed point set of the affine Weyl group ((A) over tilde-(2n-1), (S) over tilde) under a certain group automorphism a with alpha((S) over tilde) = (S) over tilde. Let (l) over tilde be the length function of (A) over tilde (2n-1). The main results of the paper are to prove the left-connectedness of any left cell of the weighted Coxeter group ((C) over tilde (n) (l) over tilde) in the set E-lambda for any nice lambda is an element of A(2n), to prove all the partitions (2n - k, k) with 1 <= k <= n being nice and to describe all the cells of ((C) over tilde (n) (l) over tilde) in the set E((2n-k,k)). (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free