%0 Journal Article %T Universal central extensions of direct limits of Lie superalgebras %A Erhard Neher %A Jie Sun %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1104.1001v1