Cohomology of $n$-Lie algebras in Loday-Pirashvili category

Abstract

In this article, we present the concept of $n$-Lie algebras in the Loday-Pirashvili category. We examine the representation and cohomology theory of $n$-Lie algebras in this category, and also explore their applications in infinitesimal deformation and abelian extension theory.

32 pages, 0 figures, continuation of arXiv:2304.13071