Lowest weight representations of some infinite dimensional groups on fock spaces |
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Authors: | Martin U Schmidt |
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Institution: | (1) Institut für Theoretische Physik, Freie Universität Berlin, Berlin, West Germany |
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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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Keywords: | 22E65 22E70 |
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