On deformation cohomology of compatible Hom-associative algebras

In this paper, we consider compatible Hom-associative algebras as a twisted version of compatible associative algebras. Compatible Hom-associative algebras are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible H...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Chtioui, Taoufik, Saha, Ripan
Format: Article
Language:English
Subjects:
Algebra
Compatibility
Deformation
Homology
Lie groups
Online Access:Get full text
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Summary:In this paper, we consider compatible Hom-associative algebras as a twisted version of compatible associative algebras. Compatible Hom-associative algebras are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-associative algebras generalizing the classical case. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-associative algebras.
ISSN:2331-8422