A combinatorial formula for the coefficient of \(q\) in Kazhdan-Lusztig polynomials. (English) Zbl 1470.05170
Summary: We propose a combinatorial interpretation of the coefficient of \(q\) in Kazhdan-Lusztig polynomials and we prove it for finite simply-laced Weyl groups.
MSC:
| 05E16 | Combinatorial aspects of groups and algebras |
| 20C08 | Hecke algebras and their representations |
| 20F55 | Reflection and Coxeter groups (group-theoretic aspects) |
