Alternating quiver Hecke algebras

被引：0

作者：

Boys, Clinton ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat F07, Sydney, NSW 2006, Australia

来源：

JOURNAL OF ALGEBRA | 2016年 / 449卷

关键词：

Alternating groups; Alternating Hecke algebras; Khovanov-Lauda-Rouquier algebras; Representation theory;

D O I：

10.1016/j.jalgebra.2015.10.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For simply-laced, reversible quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternating quiver Hecke algebras. We give a basis theorem and a presentation by generators and relations which is strikingly similar to the KLR presentation for quiver Hecke algebras. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：246 / 263

页数：18

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