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@article{faucris.123313124,
abstract = {In this article we study non-abelian extensions of a Lie group $G$ modeled on a locally convex space by a Lie group $N$. The equivalence classes of such extension are grouped into those corresponding to a class of so-called smooth outer actions $S$ of $G$ on $N$. If $S$ is given, we show that the corresponding set $\mathrm{Ext}{(G,N)}_{S}$ of extension classes is a principal homogeneous space of the locally smooth cohomology group ${H}_{ss}^{2}{(G,Z\left(N\right))}_{S}$. To each $S$ a locally smooth obstruction class $\chi \left(S\right)$ in a suitably defined cohomology group ${H}_{ss}^{3}{(G,Z\left(N\right))}_{S}$ is defined. It vanishes if and only if there is a corresponding extension of $G$ by $N$. A central point is that we reduce many problems concerning extensions by non-abelian groups to questions on extensions by abelian groups, which have been dealt with in previous work. An important tool is a Lie theoretic concept of a smooth crossed module $\alpha :H\to G$, which we view as a central extension of a normal subgroup of $G$.},
author = {Neeb, Karl-Hermann},
faupublication = {no},
journal = {Annales de l'Institut Fourier},
pages = {209-271},
peerreviewed = {Yes},
title = {{Non}-abelian extensions of infinite-dimensional {Lie} groups},
volume = {57},
year = {2007}
}