A recursive rule for Kazhdan-Lusztig characters

Abstract

A formula for computing Kazhdan-Lusztig characters in Hecke algebras of Coxeter groups is given. This formula holds for products of Coxeter elements of parabolic subgroups in an arbitrary Coxeter group, where the parabolic subgroups are of typeAand the Kazhdan-Lusztig representations are of finite dimension. The formula yields new combinatorial interpretations (of Murnaghan-Nakayama type) to these characters and to other related characters. © 1997 Academic Press.