On the irreducibility of representations of measurable current groups

DOI10.1007/BF01076495zbMath0851.47047OpenAlexW2171829846MaRDI QIDQ1896953

R. S. Ismagilov

Publication date: 27 September 1995

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01076495

zbMATH Keywords

representationscocycleirreducibilitymeasurable current group

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Functional calculus for linear operators (47A60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (2)

Fuglede-Putnam theorem in algebras with involutions ⋮ On representations of groups and algebras in spaces with indefinite metric

Cites Work

• Irréductibilité de certaines représentations de \(G^{(x)}\)
• Factorisable representations of current groups and the Araki-Woods imbedding theorem
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes

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