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Integrability Criterion for Abelian Extensions of Lie Groups

Pedram Hekmati
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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 $A$.

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BibTeXRIS

Pedram Hekmati. 2006-11-14. Integrability Criterion for Abelian Extensions of Lie Groups. https://doi.org/10.1090/s0002-9939-2010-10423-9

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