Article ID Journal Published Year Pages File Type
4584611 Journal of Algebra 2015 33 Pages PDF
Abstract
The affine Weyl group (C˜n,S) can be realized as the fixed point set of the affine Weyl group (A˜2n−1,S˜) under a certain group automorphism α with α(S˜)=S˜. Let ℓ˜ be the length function of A˜2n−1. We study the cells of the weighted Coxeter group (C˜n,ℓ˜). The main results of the paper are to give an explicit description for all the cells of (C˜n,ℓ˜) corresponding to the partitions k12n−k and h212n−h−2 for all 1⩽k⩽2n and 2⩽h⩽2n−2, and also for all the cells of (C˜3,ℓ˜).
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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