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Cohomology and Deformations of $n$-Lie algebra morphisms

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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… Click to show full abstract

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.

Keywords: cohomology deformations; lie algebra; algebra morphisms; deformations lie

Journal Title: Journal of Geometry and Physics
Year Published: 2018

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