Universal central extensions of direct limits of Lie superalgebras

Details Universal central extensions of direct limits of Lie superalgebras Universal central extensions of direct limits of Lie superalgebras

2011-04-06

arxiv.org/abs/1104.1001v1

Mathematics

Rings and Algebras

Scientific paper

We show that the universal central extension of a direct limit of perfect Lie
superalgebras L_i is (isomorphic to) the direct limit of the universal central
extensions of L_i. As an application we describe the universal central
extensions of some infinite rank Lie superalgebras.

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