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Cohomology of $n$-Lie algebras in Loday-Pirashvili category (2306.03692v10)
Published 5 Jun 2023 in math.RA and math.RT
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.
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