Cohomology and Versal Deformations of Hom-Leibniz algebras
Faouzi Ammar, Zeyneb Ejbehi, Abdenacer Makhlouf
TL;DR
This paper develops a cohomology theory for Hom-Leibniz algebras, characterizes their versal deformations, and provides illustrative examples to advance understanding of their deformation theory.
Contribution
It introduces a new cohomology framework for Hom-Leibniz algebras and characterizes their versal deformations, which is a novel contribution to the field.
Findings
Established a cohomology theory for Hom-Leibniz algebras
Characterized the structure of versal deformations
Provided concrete examples illustrating the theory
Abstract
The purpose of this paper is to study global deformations of Hom-Leibniz algebras. We introduce a cohomology for Hom-Leibniz algebras with values in a Hom-module, characterize versal deformations and provide examples.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology