Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3

Jianwei Gao; Xun Xie

doi:10.1016/j.jalgebra.2020.09.020

Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3

Jianwei Gao, Xun Xie^*

^*此作品的通讯作者

数学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We prove Lusztig's conjectures P1-P15 for hyperbolic Coxeter groups of rank 3. Our proof enables us to give a description of the a-functions and Kazhdan-Lusztig cells for these Coxeter groups.

源语言	英语
页（从-至）	139-195
页数	57
期刊	Journal of Algebra
卷	567
DOI	https://doi.org/10.1016/j.jalgebra.2020.09.020
出版状态	已出版 - 1 2月 2021

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10.1016/j.jalgebra.2020.09.020

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Gao, J., & Xie, X. (2021). Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3. Journal of Algebra, 567, 139-195. https://doi.org/10.1016/j.jalgebra.2020.09.020

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abstract = "We prove Lusztig's conjectures P1-P15 for hyperbolic Coxeter groups of rank 3. Our proof enables us to give a description of the a-functions and Kazhdan-Lusztig cells for these Coxeter groups.",

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Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3

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