Nonexistence of Finite-dimensional Quantizations of a Noncompact Symplectic Manifold

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dc.creatorGotay, Mark J.
dc.creatorGrundling, Hendrik B.
dc.date1997-10-22
dc.date.accessioned2026-07-07T03:24:33Z
dc.date.available2026-07-07T03:24:33Z
dc.descriptionWe prove that there is no faithful finite-dimensional representation by skew-hermitian matrices of a ``basic algebra of observables'' B on a noncompact symplectic manifold M. Consequently there exists no finite-dimensional quantization of any Lie subalgebra of the Poisson algebra C^\infty(M) containing B.
dc.descriptionPlain TeX, 5 pps
dc.identifierhttps://arxiv.org/abs/dg-ga/9710024
dc.identifierhttp://arxiv.org/abs/dg-ga/9710024
dc.identifier"Differential Geometry and Applications," I. Kolar et al., Eds., 593-596 (Masaryk University, Brno, 1999).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33369
dc.subjectDifferential Geometry
dc.subjectQuantum Physics
dc.subject81S99 (Primary) 17B66 (Secondary)
dc.titleNonexistence of Finite-dimensional Quantizations of a Noncompact Symplectic Manifold
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