The boundedness of Lusztig's a-function for Coxeter groups of finite rank

2025/03/09 by Chen, Xiaoyu, Hu, HongSheng · 1 citation
#20F55 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2503.06432

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 \boldsymbola-function of (W, S, L) is bounded.

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• Tensor ideals of abelian type and quantum groups

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