Cohomology and deformations of compatible Hom-Lie algebras

被引：1
|
作者：
Das, Apurba [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Kharagpur 721302, West Bengal, India
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 192卷
关键词：
Hom-Lie algebras; Compatible structures; Cohomology; Extensions; Deformations; BRACKETS;
D O I：
10.1016/j.geomphys.2023.104951
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider compatible Hom-Lie algebras as a twisted version of compatible Lie algebras. Compatible Hom-Lie algebras are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie algebras generalizing the recent work of Liu, Sheng and Bai. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-Lie algebras.(c) 2023 Elsevier B.V. All rights reserved.
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页数：14
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