An Obstruction to Quantizing Compact Symplectic Manifolds 1999 6 citations 6 self
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Author: by Mark J. Gotay Janusz Grabowski Hendrik Hendrik B. Grundling Communicated Peter Li
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Abstract: 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.
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