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Unitary representations of some infinite dimensional groups

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Abstract

We construct projective unitary representations of (a) Map(S 1;G), the group of smooth maps from the circle into a compact Lie groupG, and (b) the group of diffeomorphisms of the circle. We show that a class of representations of Map(S 1;T), whereT is a maximal torus ofG, can be extended to representations of Map(S 1;G),

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  1. St. Catherine's College, Oxford University, OX1 3UJ, Oxford, England

    Graeme Segal

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  1. Graeme Segal
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Communicated by A. Jaffe

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Segal, G. Unitary representations of some infinite dimensional groups. Commun.Math. Phys. 80, 301–342 (1981). https://doi.org/10.1007/BF01208274

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  • DOI: https://doi.org/10.1007/BF01208274

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