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 | |
Publication status | Published - 1 Feb 2021 |
Keywords
- Conjectures P1-P15
- Coxeter groups of rank 3
- Two-sided cells
- a-Functions
Fingerprint
Dive into the research topics of 'Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3'. Together they form a unique fingerprint.Cite this
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