Integrability Criterion for Abelian Extensions of Lie Groups

Abstract

We establish a criterion for when an abelian extension of infinite-dimensional Lie algebras integrates to a corresponding Lie group extension $\hat{G}$ of $G$ by $A$, where $G$ is a connected, simply connected Lie group and $A$ is a quotient of its Lie algebra by some discrete subgroup. When $G$ is non-simply connected, the kernel $A$ is replaced by a central extension $\hat{A}$ of ${\pi }_1(G)$ by $A$.

11 pages, 2 figures

Cited by in corpus (1)

• The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes