Nonexistence of Finite-dimensional Quantizations of a Noncompact Symplectic Manifold

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We 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.
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Differential Geometry, Quantum Physics, 81S99 (Primary) 17B66 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/33369

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9710024
 http://arxiv.org/abs/dg-ga/9710024
 "Differential Geometry and Applications," I. Kolar et al., Eds., 593-596 (Masaryk University, Brno, 1999).

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