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arxiv: 1506.06306 · v1 · pith:UJRMXGJ7new · submitted 2015-06-21 · 🧮 math.RA · math.QA

On Deformations of n-Lie algebras

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keywords algebrasdeformationtheoryalgebraapproachassociativebasecommutative
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The aim of this paper is to review the deformation theory of $n$-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 $n$-Lie algebras.

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