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Several Remarks on the Representation of the Infinite-Dimensional Symplectic Group and on the Construction of the Metaplectic Group

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Abstract

An explicit projective representation of a subgroup of the symplectic group in the Wiener--Segal--Fock space is constructed together with the Mackey extension of some subgroups of the symplectic group.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    I. D. Tveritinov

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  1. I. D. Tveritinov
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Tveritinov, I.D. Several Remarks on the Representation of the Infinite-Dimensional Symplectic Group and on the Construction of the Metaplectic Group. Mathematical Notes 75, 805–818 (2004). https://doi.org/10.1023/B:MATN.0000030990.00262.97

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  • DOI: https://doi.org/10.1023/B:MATN.0000030990.00262.97

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