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Universal central extensions of Lie groups

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Publication:1862249
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DOI10.1023/A:1019743224737zbMath1019.22011OpenAlexW1480186789MaRDI QIDQ1862249

Karl-Hermann Neeb

Publication date: 11 March 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019743224737


zbMATH Keywords

Lie algebra cohomologycentral extensionstopologicalinfinite-dimensional Lie groupsperiod mapFréchetBanach-Lie algebrascentral Lie group extensions


Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)


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The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits ⋮ Coadjoint Orbits and the Beginnings of a Geometric Representation Theory ⋮ Analyticity and naturality of the multi-variable functional calculus ⋮ Towards a Lie theory of locally convex groups ⋮ Universal central extension of direct limits of Hom-Lie algebras ⋮ Central extensions of groups of sections ⋮ Central extensions of infinite-dimensional Lie groups



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