Categorification of a Recursive Formula for Kazhdan-Lusztig Polynomials

被引：1

作者：

Plaza, David ^{[1
]}

机构：

[1] Univ Talca, Inst Matemat & Fis, Ave Lircay S-N, Talca, Chile

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 10期

关键词：

Branching rules; Cellular algebras; Kazhdan-Lusztig polynomials; Soergel bimodules; 05E10; 16D90; BIMODULES; ALGEBRAS;

D O I：

10.1080/00927872.2015.1087551

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain explicit branching rules for graded cell modules and graded simple modules over the endomorphism algebra of a Bott-Samelson bimodule. These rules allow us to categorify a well-known recursive formula for Kazhdan-Lusztig polynomials.

引用

页码：4354 / 4377

页数：24

共 14 条

[1]

Donkin S., 1998, THE Q SCHUR ALGEBRA

[2]

Elias B., 2013, ARXIV13090865

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

Elias, Ben ;

Williamson, Geordie .

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

[4] Cellular algebras [J].

Graham, JJ ;

Lehrer, GI .

INVENTIONES MATHEMATICAE, 1996, 123 (01) :1-34

[5] Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A [J].

Hu, Jun ;

Mathas, Andrew .

ADVANCES IN MATHEMATICS, 2010, 225 (02) :598-642

[6]

Humphreys J. E., 1992, REFLECTION GROUPS CO, V29

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

KAZHDAN, D ;

LUSZTIG, G .

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

[8] Regarding Soergel's bimodule [J].

Libedinsky, Nicolas .

JOURNAL OF ALGEBRA, 2008, 320 (07) :2675-2694

[9] Light leaves and Lusztig's conjecture [J].

Libedinsky, Nicolas .

ADVANCES IN MATHEMATICS, 2015, 280 :772-807

[10]

Plaza D., 2014, ARXIV14102136

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