Several remarks on the representation of the infinite-dimensional symplectic group and on the construction of the metaplectic group

DOI10.1023/B:MATN.0000030990.00262.97zbMath1069.22010OpenAlexW1985415996MaRDI QIDQ1889672

I. D. Tveritinov

Publication date: 7 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000030990.00262.97

zbMATH Keywords

symplectic groupprojective representationmetaplectic groupMackey extensionWiener-Segal-Fock space

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Linear spaces and algebras of operators (47L99)

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