An Obstruction to Quantizing Compact Symplectic Manifolds

Details An Obstruction to Quantizing Compact Symplectic Manifolds An Obstruction to Quantizing Compact Symplectic Manifolds

1997-05-31

arxiv.org/abs/dg-ga/9706001v3

Proc. Amer. Math. Soc. 128 [2000], 237-243

Mathematics

Differential Geometry

LaTeX2e, 9 pps. Uses amsmath & amsfonts packages. This paper is a revised version of the published article; the proof of Theor

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

An Obstruction to Quantizing Compact Symplectic Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Obstruction to Quantizing Compact Symplectic Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Obstruction to Quantizing Compact Symplectic Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374087