%0 Journal Article %T Lusztig's $a$ function for Coxeter groups of rank 3 %A Peipei Zhou %J Mathematics %D 2011 %I arXiv %X We show that Lusztig's $a$-function of a Coxeter group is bounded if the rank of the Coxeter group is 3. %U http://arxiv.org/abs/1107.1995v1