Universal central extensions of direct limits of Lie superalgebras

作者：Neher Erhard; Sun Jie^*

来源：Journal of Algebra, 2012, 368: 169-181.

DOI：10.1016/j.jalgebra.2012.06.020

• Universal central extensions
• Direct limit
• Lie superalgebras

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.

• 出版日期2012-10-15