Conjectures P1-P15 for Coxeter groups with complete graph

Xun Xie

doi:10.1016/j.aim.2021.107565

Conjectures P1-P15 for Coxeter groups with complete graph

Xun Xie

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using decreasing induction on a-values and a kind of factorization formula of Kazhdan-Lusztig basis elements. As a byproduct, we give a description of the left, right, and two-sided cells. In the appendix, we prove P1-P15 for right-angled Coxeter groups by the same methods.

源语言	英语
文章编号	107565
期刊	Advances in Mathematics
卷	379
DOI	https://doi.org/10.1016/j.aim.2021.107565
出版状态	已出版 - 5 3月 2021

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10.1016/j.aim.2021.107565

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Xie, X. (2021). Conjectures P1-P15 for Coxeter groups with complete graph. Advances in Mathematics, 379, 文章 107565. https://doi.org/10.1016/j.aim.2021.107565

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abstract = "We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using decreasing induction on a-values and a kind of factorization formula of Kazhdan-Lusztig basis elements. As a byproduct, we give a description of the left, right, and two-sided cells. In the appendix, we prove P1-P15 for right-angled Coxeter groups by the same methods.",

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AB - We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using decreasing induction on a-values and a kind of factorization formula of Kazhdan-Lusztig basis elements. As a byproduct, we give a description of the left, right, and two-sided cells. In the appendix, we prove P1-P15 for right-angled Coxeter groups by the same methods.

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Conjectures P1-P15 for Coxeter groups with complete graph

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