Can I read An Obstruction to Quantizing Compact Symplectic Manifolds on EtoBox?

An Obstruction to Quantizing Compact Symplectic Manifolds by Gotay, Mark J.; Grabowski, Janusz; Grundling, Hendrik B. is a scholarly article available to read on EtoBox.

What is An Obstruction to Quantizing Compact Symplectic Manifolds about?

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.

Author

Gotay, Mark J.; Grabowski, Janusz; Grundling, Hendrik B.

Published

1997

Language

EN