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

Abstract

We show that Lusztig's $a$-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.

14 pages

References in corpus (1)

• Lusztig's $a$ function for Coxeter groups of rank 3