On Deformations of n-Lie algebras

preprint2015arXivOpen access

Abstract

The aim of this paper is to review the deformation theory of nn-Lie algebras. We summarize the 1-parameter formal deformation theory and provide a generalized approach using any unital commutative associative algebra as a deformation base. Moreover, we discuss degenerations and quantization of nn-Lie algebras.

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