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

被引：0

作者：

Recupero, Francesco ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2019年 / 161卷

关键词：

Algebraic combinatorics; Kazhdan-Lusztig polynomials; Parabolic quotients; Quasi-minuscule quotients; FORMULA;

D O I：

10.1016/j.jcta.2018.08.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：327 / 358

页数：32

共 18 条

[11] The Hodge theory of Soergel bimodules [J].

Elias, Ben ;

Williamson, Geordie .

ANNALS OF MATHEMATICS, 2014, 180 (03) :1089-1136

[12] A combinatorial formula for Macdonald polynomials [J].

Haglund, J ;

Haiman, M ;

Loehr, N .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 18 (03) :735-761

[13]

Humphreys J.E., 1990, CAMBRIDGE STUDIES AD

[14] Parabolic Kazhdan-Lusztig polynomials and Schubert varieties [J].

Kashiwara, M ;

Tanisaki, T .

JOURNAL OF ALGEBRA, 2002, 249 (02) :306-325

[15] REPRESENTATIONS OF COXETER GROUPS AND HECKE ALGEBRAS [J].

KAZHDAN, D ;

LUSZTIG, G .

INVENTIONES MATHEMATICAE, 1979, 53 (02) :165-184

[16]

LASCOUX A, 1981, ASTERISQUE, P249

[17]

Leclerc B, 2000, ADV STU P M, V28, P155

[18] On the decomposition matrices of the quantized Schur algebra [J].

Varagnolo, M ;

Vasserot, E .

DUKE MATHEMATICAL JOURNAL, 1999, 100 (02) :267-297

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