Lusztig’s<i>a</i>-Function in Type<i>B<sub>n</sub></i>in the Asymptotic Case
Lusztig’s<i>a</i>-Function in Type<i>B<sub>n</sub></i>in the Asymptotic Case
Abstract In this paper, we study Lusztig’s a-function for a Coxeter group with unequal parameters. We determine that function explicitly in the “asymptotic case” in type B n , where the left cells have been determined in terms of a generalized Robinson-Schensted correspondence by Bonnafé and the second author. As …