This article is cited in 1 paper

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

I. D. Tveritinov

M. V. Lomonosov Moscow State University

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.

UDC: 517.946

Received: 08.01.2003

DOI: 10.4213/mzm81

 English version: Mathematical Notes, 2004, 75:6, 805–818

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