Representations of Coxeter groups of Lusztig's a-function value 1
Representation Theory
2026-03-23 v3 Rings and Algebras
Abstract
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 simply laced Coxeter groups.
Keywords
Cite
@article{arxiv.2309.00593,
title = {Representations of Coxeter groups of Lusztig's a-function value 1},
author = {Hongsheng Hu},
journal= {arXiv preprint arXiv:2309.00593},
year = {2026}
}
Comments
Revised version of part of arXiv:2112.03771. Comments welcome