Cohomology and Deformations of $n$-Lie algebra morphisms
Rings and Algebras
2018-08-01 v1 Mathematical Physics
math.MP
Abstract
The study of -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 -Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples.
Keywords
Cite
@article{arxiv.1804.10387,
title = {Cohomology and Deformations of $n$-Lie algebra morphisms},
author = {A. Arfa and N. Ben Fraj and A. Makhlouf},
journal= {arXiv preprint arXiv:1804.10387},
year = {2018}
}