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

R. M. Green, Tianyuan Xu

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 t…