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arXiv · 1804.10387

Cohomology and Deformations of $n$-Lie algebra morphisms

A. Arfa·N. Ben Fraj·A. Makhlouf
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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 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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BibTeXRIS

A. Arfa, N. Ben Fraj, A. Makhlouf. 2018-04-27. Cohomology and Deformations of $n$-Lie algebra morphisms. https://doi.org/10.1016/j.geomphys.2018.05.010

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