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Universal central extensions of current Lie superalgebras

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Abstract We identify the universal central extension of g = A ⊗ k , where k is a finite dimensional perfect Lie superalgebra equipped with a nondegenerate homogeneous invariant supersymmetric… Click to show full abstract

Abstract We identify the universal central extension of g = A ⊗ k , where k is a finite dimensional perfect Lie superalgebra equipped with a nondegenerate homogeneous invariant supersymmetric bilinear form Îș which is invariant under all derivations and A is a unital supercommutative associative (super)algebra.

Keywords: lie superalgebras; universal central; central extensions; lie; extensions current; current lie

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020

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