Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4362

 Title: Irreducible unitary representations of a diffeomorphisms group of an infinite-dimensional real manifold Authors: Lüdkovsky, S.V. Issue Date: 1999 Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche Citation: S.V. Lüdkovsky, "Irreducible unitary representations of a diffeomorphisms group of an infinite-dimensional real manifold", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1999), pp. 21-43. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics30 (1999) Abstract: Groups of diffeomorphisms $Diff_{\beta,\Upsilon}^{t}$ (M) of infinite-dimensionai real Banach manifolds M are defined. Their structure is studied. Irreducible unitary representations of a group of diffeomorphisms associated with quasi-invariant measures on a Banach manifold are constructed. URI: http://hdl.handle.net/10077/4362 ISSN: 0049-4704 MS Classification: 22A1046B43A05 Appears in Collections: Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.30 (1999)

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