Cohomology and Versal Deformations of Hom-Leibniz algebras

2013/02/28 by Ammar, Faouzi, Ejbehi, Zeyneb, Makhlouf, Abdenacer
#13D10 #17A30 #17A32 #17B56 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1302.7302

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.

Related

• On n-Hom-Leibniz algebras and cohomology
• Cohomology and deformation of compatible Hom-Leibniz algebras
• Cohomology and Deformations of n-Hom-Liebniz algebra morphisms
• Versal deformations of Leibniz algebras
• Cohomology and Deformations of Hom-algebras