Irreducible representations of infinite-dimensional transformation groups and Lie algebras. I

DOI10.1006/JFAN.1995.1069zbMath0829.22009OpenAlexW1971968387MaRDI QIDQ1893832

Paul R. Chernoff

Publication date: 7 August 1995

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

Full work available at URL: https://doi.org/10.1006/jfan.1995.1069

zbMATH Keywords

infinite dimensional Lie algebrasLie algebras of functions on a symplectic manifold

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Discrete subgroups of Lie groups (22E40) Representations of group algebras (22D20)

Related Items (5)

Representations of 2-transitive locally compact groups ⋮ Quantum Liouville equation ⋮ The operator formulation of classical mechanics and semiclassical limit ⋮ Prequantization is irreducible ⋮ Obstruction results in quantization theory

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