Imbedding of a group of measure-preserving diffeomorphisms into a semidirect product and its unitary representations. (English) Zbl 0484.58011

Ismagilov, R. S.

Math. USSR, Sb. 41, 67-81 (1982).

MSC:

58D05	Groups of diffeomorphisms and homeomorphisms as manifolds
22E65	Infinite-dimensional Lie groups and their Lie algebras: general properties
57R50	Differential topological aspects of diffeomorphisms
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