Algebras for the two-sphere and the three-sphere groups of compact simple Lie groups

DOI10.1063/1.528835zbMath0736.22015OpenAlexW2092440350WikidataQ115331728 ScholiaQ115331728MaRDI QIDQ4713336

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Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.528835

zbMATH Keywords

central extensionscompact manifoldstructure constantssmooth mapscompact simple real Lie algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Loop groups and related constructions, group-theoretic treatment (22E67)

Related Items (3)

Central extensions of sphere groups ⋮ Affine realizations of sphere algebras ⋮ Central extensions of sphere groups and their Lie algebras

Cites Work

• Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
• A new class of Lie algebras
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• COHOMOLOGY OF GROUPS AND ALGEBRAS OF FLOWS

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