Supercategorification of quantum Kac-Moody algebras

被引：20
|
作者：
Kang, Seok-Jin [1 ,2 ]
Kashiwara, Masaki [1 ,3 ]
Oh, Se-jin [4 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea
[3] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
[4] Pohang Univ Sci & Technol, Pohang Math Inst, Pohang 790784, South Korea
来源：
ADVANCES IN MATHEMATICS | 2013年 / 242卷
基金：
日本学术振兴会;
关键词：
Categorification; Quiver Hecke superalgebras; Cyclotomic quotients; Quantum Kac-Moody algebras; HECKE ALGEBRAS; CRYSTAL BASES;
D O I：
10.1016/j.aim.2013.04.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the quiver Hecke superalgebras and their cyclotomic quotients provide a supercategorification of quantum Kac-Moody algebras and their integrable highest weight modules. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：116 / 162
页数：47
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