Universal central extensions of direct limits of Lie superalgebras
Rings and Algebras
2011-04-07 v1
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.
Keywords
Cite
@article{arxiv.1104.1001,
title = {Universal central extensions of direct limits of Lie superalgebras},
author = {Erhard Neher and Jie Sun},
journal= {arXiv preprint arXiv:1104.1001},
year = {2011}
}