CYCLOTOMIC QUIVER HECKE ALGEBRAS CORRESPONDING TO MINUSCULE REPRESENTATIONS

被引：1

作者：

Park, Euiyong ^{[1
]}

机构：

[1] Univ Seoul, Dept Math, Seoul 02504, South Korea

来源：

基金：

新加坡国家研究基金会;

关键词：

Categorification; minuscule representations; quantum groups; quiver Hecke algebras; ELEMENTS;

D O I：

10.4134/JKMS.j190647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we give an explicit basis of the cyclotomic quiver Hecke algebra corresponding to a minuscule representation of finite type.

引用

页码：1373 / 1388

页数：16

共 19 条

[1] [Anonymous], 2015, SEM LOTHAR COMBIN, V75
[2] [Anonymous], 2008, PREPRINT
[3] Representation Type of Finite Quiver Hecke Algebras of Type Al(1) for Arbitrary Parameters
Ariki, Susumu
Iijima, Kazuto
Park, Euiyong
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (15) : 6070 - 6135
[4] Representation type of finite quiver Hecke algebras of type A2l(2)
Ariki, Susumu
Park, Euiyong
[J]. JOURNAL OF ALGEBRA, 2014, 397 : 457 - 488
[5] Bourbaki N., 2005, LIE GROUPS LIE ALGEB
[6] Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
Brundan, Jonathan
Kleshchev, Alexander
[J]. INVENTIONES MATHEMATICAE, 2009, 178 (03) : 451 - 484
[7] Fully commutative elements of type D and homogeneous representations of KLR-algebras
Feinberg, Gabriel
Lee, Kyu-Hwan
[J]. JOURNAL OF COMBINATORICS, 2015, 6 (04) : 535 - 557
[8] Geck M., 2000, CHARACTERS FINITE CO
[9] Hong J., 2002, GRADUATE STUDIES MAT, V42, DOI DOI 10.1090/GSM/042
[10] HONG J, 1991, DUKE MATH J, V63, P46516