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

页码：116 / 162

页数：47

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