English

Lusztig's $a$-function for Coxeter groups with complete graphs

Quantum Algebra 2011-06-14 v1

Abstract

We show that Lusztig's aa-function of a Coxeter group is bounded if the Coxeter group has a complete graph (i.e. any two vertices are joined) and the cardinalities of finite parabolic subgroups of the Coxeter group have a common upper bound.

Keywords

Cite

@article{arxiv.1106.2424,
  title  = {Lusztig's $a$-function for Coxeter groups with complete graphs},
  author = {Nanhua Xi},
  journal= {arXiv preprint arXiv:1106.2424},
  year   = {2011}
}

Comments

14 pages

R2 v1 2026-06-21T18:21:23.478Z