Parabolic Kazhdan-Lusztig polynomials of type-1 for quasi-minuscule quotients

摘要

We prove the conjectures of F. Brenti, P. Mongelli and P. Sentinelli which give a combinatorial interpretation to the parabolic Kazhdan-Lusztig polynomials of type -1 for quasi-minuscule quotients of the Weyl groups of type B-n and D-n. (C) 2018 Elsevier Inc. All rights reserved.