An Obstruction to Quantizing Compact Symplectic Manifolds

Simple item page
dc.creatorGotay, Mark J.
dc.creatorGrabowski, Janusz
dc.creatorGrundling, Hendrik B.
dc.date1997-05-31
dc.date1999-10-21
dc.date.accessioned2026-07-07T08:59:13Z
dc.date.available2026-07-07T08:59:13Z
dc.descriptionWe 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.
dc.descriptionLaTeX2e, 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
dc.identifierhttps://arxiv.org/abs/dg-ga/9706001
dc.identifierhttp://arxiv.org/abs/dg-ga/9706001
dc.identifierProc. Amer. Math. Soc. 128 [2000], 237-243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147631
dc.subjectDifferential Geometry
dc.subjectQuantum Physics
dc.titleAn Obstruction to Quantizing Compact Symplectic Manifolds
dc.typetext

Files

Collections

arXiv