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

Ismagilov, R. S.

Mat. Sb., N. Ser. 113(155), 81-97 (1980).

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

Keywords:

representations of groups of diffeomorphisms; identity component of the group of all diffeomorphisms of a compact n-dimensional manifold which preserve a nowhere zero n-form; semi-direct product; group of all measurable transformations