Parabolic Kazhdan-Lusztig polynomials for quasi-minuscule quotients

被引：5

作者：

Brenti, Francesco ^{[1
]}

Mongelli, Pietro ^{[2
]}

Sentinelli, Paolo ^{[1
,3
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00173 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, Piazzale Aldo Moro, I-00185 Rome, Italy

[3] Univ Chile, Dept Matemat, Casilla 653, Santiago 3425, Chile

来源：

ADVANCES IN APPLIED MATHEMATICS | 2016年 / 78卷

关键词：

Kazhdan-Lusztig polynomial; Quasi-minuscule quotient; Weyl group; Combinatorics; COMBINATORIAL FORMULA; MACDONALD POLYNOMIALS; VARIETIES; MODULES; SPACES;

D O I：

10.1016/j.aam.2016.01.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：27 / 55

页数：29

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