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

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	38-58
Number of pages	21
Journal	Journal of Algebra
Volume	489
DOIs	https://doi.org/10.1016/j.jalgebra.2017.05.039
Publication status	Published - 1 Nov 2017

Keywords

Based rings
Coxeter groups with complete graph
Lowest two-sided cells

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10.1016/j.jalgebra.2017.05.039

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title = "The lowest two-sided cell of a Coxeter group with complete graph",

abstract = "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.",

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author = "Xun Xie",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

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doi = "10.1016/j.jalgebra.2017.05.039",

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AU - Xie, Xun

PY - 2017/11/1

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N2 - 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.

AB - 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.

KW - Based rings

KW - Coxeter groups with complete graph

KW - Lowest two-sided cells

UR - https://www.scopus.com/pages/publications/85027718988

U2 - 10.1016/j.jalgebra.2017.05.039

DO - 10.1016/j.jalgebra.2017.05.039

M3 - Article

AN - SCOPUS:85027718988

SN - 0021-8693

VL - 489

SP - 38

EP - 58

JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

Abstract

Keywords

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