The lowest two-sided cell of a Coxeter group with complete graph

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摘要

In this paper we give a description of the structure of the based ring of the lowest two-sided cell for a weighted Coxeter group with complete graph. It is proved that this ring is generated, in a simple way, by some subrings which are isomorphic to the based rings of the lowest two-sided cells for affine Weyl groups of type A˜1 or A˜2.

源语言英语
页(从-至)38-58
页数21
期刊Journal of Algebra
489
DOI
出版状态已出版 - 1 11月 2017

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