Another construction of the central extension of the loop group

DOI10.1007/BF01239026zbMath0648.22012OpenAlexW1653433628MaRDI QIDQ1105059

M. K. Murrays

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01239026

zbMATH Keywords

loop groupcocyclecompact groupcentral extensionright-invariant connectionS 1-bundle

Mathematics Subject Classification ID

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

Related Items

Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy, The path group construction of Lie group extensions, Gauge anomalies on S2 and group extensions, Integrability criterion for abelian extensions of Lie groups, Central extensions of groups of sections, Stochastic gauge transform of the string bundle, String structures and the path fibration of a group

Cites Work

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• Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
• On regular Frechet-Lie groups. IV: Definition and fundamental theorems
• Holonomy and the Wess-Zumino term