Factoriality of representations of the group of paths on SU(n)

DOI10.1016/0022-1236(84)90100-9zbMath0541.22013OpenAlexW1983971227MaRDI QIDQ794784

Daniel Testard, Sergio A. Albeverio, Raphael J. Høegh-Krohn

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90100-9

zbMATH Keywords

compact semi-simple Lie groupfactoriality of representationsfactoriality of the representationgeneric set of Cartan subalgebrasample paths of Brownian motionSobolev-Lie groupSU(n)

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Harmonic analysis on specific compact groups (43A75) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Other groups related to topology or analysis (20F38) Group- or semigroup-valued set functions, measures and integrals (28B10)

Cites Work

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• Factorial representations of path groups
• Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group
• A new method for constructing factorisable representations for current groups and current algebras
• ON UNITARY REPRESENTATIONS OF THE GROUP $ C_0^\infty (X, G)$, $ G = SU_2$

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