Leavitt Path Algebras in Which Every Lie Ideal is an Ideal and Applications

被引：0
作者：
Khanh, Huynh Viet [1 ]
机构：
[1] HCMC Univ Educ, Dept Math & Informat, 280 Duong Vuong Str,Dist 5, Ho Chi Minh City, Vietnam
来源：
TRANSFORMATION GROUPS | 2024年
关键词：
Leavitt path algebra; Lie algebra; Locally solvable radical; Semisimple Lie algebra; SIMPLICITY;
D O I：
10.1007/s00031-024-09848-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we classify all Leavitt path algebras which have the property that every Lie ideal is an ideal. As an application, we show that Leavitt path algebras with this property provide a class of locally finite, infinite-dimensional Lie algebras whose locally solvable radical is completely determined. This particularly gives us a new class of semisimple Lie algebras over a field of prime characteristic.
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页数：17
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