Irreducible representations of infinite-dimensional transformation groups and Lie algebras

DOI10.1090/S0273-0979-1985-15359-5zbMath0578.58022OpenAlexW2013067830WikidataQ115282746 ScholiaQ115282746MaRDI QIDQ3700474

Paul R. Chernoff

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15359-5

zbMATH Keywords

unitary representationsLie algebra of vector fieldsSchwartz kernel theoremintertwinning operatorsanalogues of Burnside's theoreminfinite- dimensional Lie transformation groups

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Geometric quantization (53D50)

Related Items (4)

Some remarks on induced representations of infinite discrete groups ⋮ On \(Y M_ 2\) measures and area-preserving diffeomorphisms ⋮ Diffeomorphism groups of compact manifolds ⋮ A new proof of Weyl's formula on the asymptotic distribution of eigenvalues

Cites Work

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• The prequantization representations of the Poisson Lie algebra
• Quantification géométrique.
• Quantization of Nonlinear Systems
• REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS
• Quantization and unitary representations
• On Induced Representations of Groups

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