The boundness of weighted Coxeter groups of rank 3

Abstract

We prove that a weighted Coxeter group (W,S,L) is bounded in the sense of G.Lusztig if the rank of W is 3.

23 pages,3 figures

References in corpus (1)

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

Cited by in corpus (2)

• Conjectures P1-P15 for Coxeter groups with complete graph
• Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3