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Lowest weight representations of some infinite dimensional groups on fock spaces

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Abstract

The results of Kashiwara and Vergne on the decomposition of the tensor products of the ‘Segal-Shale-Weil representation’ are extended to the infinite dimensional case and give all unitary lowest weight representations. Our methods are basically algebraic. When restricted to the finite dimensional case, they yield a new proof.

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  1. Institut für Theoretische Physik, Freie Universität Berlin, Berlin, West Germany

    Martin U. Schmidt

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  1. Martin U. Schmidt
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Schmidt, M.U. Lowest weight representations of some infinite dimensional groups on fock spaces. Acta Appl Math 18, 59–84 (1990). https://doi.org/10.1007/BF00822205

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  • DOI: https://doi.org/10.1007/BF00822205

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