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@article{faucris.117699604,
abstract = {The main result of the present paper is an exact sequence which describes the group of central extensions of a connected infinite-dimensional Lie group $G$ by an abelian group $Z$ whose identity component is a quotient of a vector space by a discrete subgroup. A major point of this result is that it is not restricted to smoothly paracompact groups and hence applies in particular to all Banach- and Fréchet-Lie groups. The exact sequence encodes in particular precise obstructions for a given Lie algebra cocycle to correspond to a locally group cocycle.},
author = {Neeb, Karl-Hermann},
faupublication = {no},
journal = {Annales de l'Institut Fourier},
pages = {1365-1442},
peerreviewed = {Yes},
title = {{Central} extensions of infinite-dimensional {Lie} groups},
volume = {52},
year = {2002}
}