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.
| Original language | English |
|---|---|
| Pages (from-to) | 25-45 |
| Number of pages | 21 |
| Journal | Advances in Mathematics |
| Volume | 129 |
| Issue number | 1 |
| DOIs | |
| State | Published - 15 Jul 1997 |
| Externally published | Yes |