Geodesic
Several Remarks on the Representation of the Infinite-Dimensional Symplectic Group and on the Construction of the Metaplectic Group
Matematičeskie zametki, Tome 75 (2004) no. 6, pp. 861-876.

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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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I. D. Tveritinov. Several Remarks on the Representation of the Infinite-Dimensional Symplectic Group and on the Construction of the Metaplectic Group. Matematičeskie zametki, Tome 75 (2004) no. 6, pp. 861-876. http://geodesic.mathdoc.fr/item/MZM_2004_75_6_a5/

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