Cohomology and Deformations of $n$-Lie algebra morphisms

Abstract

The study of $n$-Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of this paper is to define cohomology complexes and study deformation theory of $n$-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples.

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Cited by in corpus (6)

• Deformations of relative Rota-Baxter operators on Leibniz algebras
• Deformations and extensions of modified $\lambda$-differential $3$-Lie Algebras
• Reynolds $n$-Lie algebras and NS-$n$-Lie algebras
• Lie n-algebras and cohomologies of relative Rota-Baxter operators on n-Lie algebras
• Cohomologies of 3-Lie algebras with derivations
• Stability and rigidity of 3-Lie algebra morphisms