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A series of irreducible unitary representations of a group of diffeomorphisms of the half-line

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Abstract

We present a family of unitary representations of a group of diffeomorphisms of a finite-dimensional real Euclidean space using a family of quasi-invariant measures. In the one-dimensional case, for a special kind of group diffeomorphisms of the halfline, we prove the irreducibility of the representations thus obtained.

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Romanov, E.D. A series of irreducible unitary representations of a group of diffeomorphisms of the half-line. Russ. J. Math. Phys. 23, 369–381 (2016). https://doi.org/10.1134/S1061920816030079

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  • DOI: https://doi.org/10.1134/S1061920816030079

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