Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations

被引：0
作者：
Nam, Tran Giang [1 ]
Srivastava, Ashish K. [2 ]
Vien, Nguyen Thi [1 ]
机构：
[1] VAST, Inst Math, 18 Hoang Quoc Viet, Hanoi, Vietnam
[2] St Louis Univ, Dept Math & Stat, St Louis, MO 63103 USA
来源：
JOURNAL OF ALGEBRA | 2024年 / 654卷
关键词：
Automorphism; Leavitt path algebra; Simple module; SIMPLE MODULES; EQUIVALENCES;
D O I：
10.1016/j.jalgebra.2024.05.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we construct (graded) automorphisms fixing all vertices of Leavitt path algebras of arbitrary graphs in terms of general linear groups over corners of these algebras. As an application, we study Zhang twist of Leavitt path algebras and describe new classes of irreducible representations of Leavitt path algebras of rose graphs R n with n petals. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码：189 / 234
页数：46
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