On (n+1)-Hom-Lie Algebras Induced by n-Hom-Lie Algebras

2015/04/27 by Kitouni, Abdennour, Makhlouf, Abdenacer, Silvestrov, Sergei
#17A40 #17A42 #17B30 #17B55 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1504.06980

Abstract

The purpose of this paper is to study the relationships between an n-Hom-Lie algebra and its induced (n+1)-Hom-Lie algebra. We provide an overview of the theory and explore the structure properties such as ideals, center, derived series, solvability, nilpotency, central extensions, and the cohomology.

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