Energy representations of gauge groups associated with Riemannian flags

DOI10.1016/0022-1236(88)90054-7zbMath0652.53033OpenAlexW2043176716MaRDI QIDQ1107136

J. Marion, Daniel Testard

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90054-7

zbMATH Keywords

semisimple Lie groupFock spaceenergy functiongauge groupGaussian measuresenergy representationRiemannian flag

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Applications of global differential geometry to the sciences (53C80)

Related Items (1)

Cylindrical representations of some infinite dimensional nuclear Lie groups

Cites Work

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• Energy machineries on a manifold; application to the construction of new energy representations of gauge groups
• Generalized energy representations for current groups
• On the closability of some positive definite symmetric differential forms on \(C_ 0^{\infty}(\Omega)\)
• Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group
• G-distributions et G-intégrales multiplicatives sur une variété
• ON UNITARY REPRESENTATIONS OF THE GROUP $ C_0^\infty (X, G)$, $ G = SU_2$
• Sur une algèbre Q-symétrique

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