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math.RT2025
Boundedness of Lusztig's -function for Coxeter groups of finite rank
Xiaoyu Chen, HongSheng Hu
We prove that there exists a bound for a positively weighted Coxeter group of finite rank. In particular, Lusztig's -function of i…
math.RT2023★ 1 cited
Representations of Coxeter groups of Lusztig's a-function value 1
Hongsheng Hu
In this paper, we give a characterization of Coxeter group representations of Lusztig's a-function value 1, then determine all the irreducible such representations for certain simp…