An Obstruction to Quantizing Compact Symplectic Manifolds
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We prove that there are no nontrivial finite-dimensional Lie representations of certain Poisson algebras of polynomials on a compact symplectic manifold. This result is used to establish the existence of a universal obstruction to quantizing a compact symplectic manifold, regardless of the dimensionality of the representation.
LaTeX2e, 9 pps. Uses amsmath & amsfonts packages. This paper is a revised version of the published article; the proof of Theorem 4 has been redone and simplified
LaTeX2e, 9 pps. Uses amsmath & amsfonts packages. This paper is a revised version of the published article; the proof of Theorem 4 has been redone and simplified