Universal central extensions of current Lie superalgebras

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 κ which is invariant under all derivations and A is a unital supercommutative associative (super)algebra.

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Bibliographic Details
Published in:Journal of pure and applied algebra 2020-04, Vol.224 (4), p.106205, Article 106205
Main Authors: Neeb, Karl-Hermann, Yousofzadeh, Malihe
Format: Article
Language:English
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Summary: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 κ which is invariant under all derivations and A is a unital supercommutative associative (super)algebra.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2019.106205