Integrability criterion for abelian extensions of Lie groups

DOI10.1090/S0002-9939-2010-10423-9zbMath1203.22014arXivmath/0611431OpenAlexW3098751156WikidataQ115289302 ScholiaQ115289302MaRDI QIDQ3056558

Pedram Hekmati

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611431

zbMATH Keywords

abelian extensionsinfinite-dimensional Lie theory

Mathematics Subject Classification ID

Cohomology of groups (20J06) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Cohomology of Lie (super)algebras (17B56) Extensions of abelian groups (20K35)

Related Items (1)

The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes

Cites Work

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• Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
• String structures and the path fibration of a group
• Fundamental problems in the theory of infinite-dimensional Lie groups
• The path group construction of Lie group extensions
• Another construction of the central extension of the loop group
• Central extensions of gauge groups revisited
• On spherical cycles

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