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

Xun Xie

doi:10.1016/j.jalgebra.2017.05.039

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

Xun Xie

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

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
卷	489
DOI	https://doi.org/10.1016/j.jalgebra.2017.05.039
出版状态	已出版 - 1 11月 2017

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10.1016/j.jalgebra.2017.05.039

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Xie, X. (2017). The lowest two-sided cell of a Coxeter group with complete graph. Journal of Algebra, 489, 38-58. https://doi.org/10.1016/j.jalgebra.2017.05.039

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

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