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Cohomology and Deformations of $n$-Lie algebra morphisms (1804.10387v1)
Published 27 Apr 2018 in math.RA, math-ph, and math.MP
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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