On Quasifree Representations of Infinite Dimensional Symplectic Group

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dc.creatorMatsui, Taku
dc.creatorShimada, Yoshihito
dc.date2002-04-18
dc.date.accessioned2026-07-07T04:29:09Z
dc.date.available2026-07-07T04:29:09Z
dc.descriptionWe consider an infinite dimensional generalization of Metaplectic representations (Weil representations) for the (double covering of) symplectic group. Given quasifree states of an infinite dimensional CCR algebra, projective unitary representations of the infinite dimensional symplectic group are constructed via unitary implementors of Bogoliubov automorphisms. Complete classification of these representations up to quasi-equivalence is obtained.
dc.identifierhttps://arxiv.org/abs/math-ph/0204039
dc.identifierhttp://arxiv.org/abs/math-ph/0204039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57048
dc.subjectMathematical Physics
dc.titleOn Quasifree Representations of Infinite Dimensional Symplectic Group
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