The boundedness of Lusztig's $a$-function for Coxeter groups of finite rank
Xiaoyu Chen, HongSheng Hu
Published: 2025/3/9
Abstract
We prove that there exists a bound $N'_L(W)$ for a positively weighted Coxeter group $(W, S, L)$ of finite rank. In particular, Lusztig's $\boldsymbol{a}$-function of $(W, S, L)$ is bounded.