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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Peking University

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

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.

Original language	English
Pages (from-to)	139-195
Number of pages	57
Journal	Journal of Algebra
Volume	567
DOIs	https://doi.org/10.1016/j.jalgebra.2020.09.020
Publication status	Published - 1 Feb 2021

Keywords

Conjectures P1-P15
Coxeter groups of rank 3
Two-sided cells
a-Functions

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10.1016/j.jalgebra.2020.09.020

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title = "Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3",

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.",

keywords = "Conjectures P1-P15, Coxeter groups of rank 3, Two-sided cells, a-Functions",

author = "Jianwei Gao and Xun Xie",

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year = "2021",

month = feb,

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doi = "10.1016/j.jalgebra.2020.09.020",

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AU - Gao, Jianwei

AU - Xie, Xun

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N2 - 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.

AB - 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.

KW - Conjectures P1-P15

KW - Coxeter groups of rank 3

KW - Two-sided cells

KW - a-Functions

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U2 - 10.1016/j.jalgebra.2020.09.020

DO - 10.1016/j.jalgebra.2020.09.020

M3 - Article

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SN - 0021-8693

VL - 567

SP - 139

EP - 195

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3

Abstract

Keywords

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