Lie algebra of an n-Lie algebra

2013/10/09 by Bossoto, Basile Guy Richard, Okassa, Eugène, Omporo, Mathias
#16W25 #17B30 #17B56 #Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1310.2433

Abstract

We construct the Lie algebra of an n-Lie algebra and we also define the notion of cohomology of an n-Lie algebra.

Related

• Elementary n-Lie algebras
• n-Lie algebras
• Cohomology of n-Lie algebras in Loday-Pirashvili category
• On the cohomology based on the generalized representations of n-Lie Algebras
• The Classification of n-Lie Algebras