Artículos de revistas
Parabolic Kazhdan-Lusztig polynomials for quasi-minuscule quotients
Fecha
2016Registro en:
Advances in Applied Mathematics 78 (2016) 27–55
10.1016/j.aam.2016.01.005
Autor
Brenti, Francesco
Mongelli, Pietro
Sentinelli, Paolo
Institución
Resumen
We study the parabolic Kazhdan-Lusztig polynomials for the quasi-minuscule quotients of Weyl groups. We give explicit closed combinatorial formulas for the parabolic Kazhdan-Lusztig polynomials of type q. Our study implies that these are always either zero or a monic power of q, and that they are not combinatorial invariants. We conjecture a combinatorial interpretation for the parabolic Kazhdan-Lusztig polynomials of type -1.