Central extensions of infinite-dimensional Lie groups

Neeb KH (2002)

Publication Type: Journal article, Original article

Publication year: 2002

Journal

Annales de l'Institut Fourier Association des Annales de l'Institute Fourier; 1999

Publisher: Association des Annales de l'Institute Fourier; 1999

Book Volume: 52

Pages Range: 1365-1442

Journal Issue: 5

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.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

How to cite

APA:

Neeb, K.H. (2002). Central extensions of infinite-dimensional Lie groups. Annales de l'Institut Fourier, 52(5), 1365-1442.

MLA:

Neeb, Karl Hermann. "Central extensions of infinite-dimensional Lie groups." Annales de l'Institut Fourier 52.5 (2002): 1365-1442.

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