Universal central extensions of direct limits of Lie superalgebras

Published 6 Apr 2011 in math.RA | (1104.1001v1)

Abstract: 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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