Morphisms Cohomology and Deformations of Hom-algebras
Anja Arfa, Nizar Ben Fraj, Abdenacer Makhlouf
TL;DR
This paper develops a cohomology framework to study deformations of Hom-algebra morphisms, including Hom-associative and Hom-Lie algebras, providing theoretical insights and concrete examples.
Contribution
It introduces a new cohomology theory tailored for Hom-algebra morphisms and explores their deformation theory, including infinitesimal deformations and obstructions.
Findings
Established a cohomology theory for Hom-algebra morphisms
Analyzed infinitesimal deformations and obstructions
Provided examples illustrating the deformation concepts
Abstract
The purpose of this paper is to study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We introduce a suitable cohomology and discuss Infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide some examples.
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