Classification of Coxeter groups with finitely many elements of $\mathbf{a}$-value 2

Abstract

We consider Lusztig's $\mathbf{a}$-function on Coxeter groups (in the equal parameter case) and classify all Coxeter groups with finitely many elements of $\mathbf{a}$-value 2 in terms of Coxeter diagrams.

34 pages