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Imbedding of a measure-preserving diffeomorphism group into a semidirect product and its unitary representations. (Russian) Zbl 0443.58012

MSC:
58D05 Groups of diffeomorphisms and homeomorphisms as manifolds
57R50 Differential topological aspects of diffeomorphisms
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
28D15 General groups of measure-preserving transformations
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