On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds

Details On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds

2002-06-05

arxiv.org/abs/hep-th/0206039v1

Nucl.Phys. B645 (2002) 457-476

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures

Scientific paper

10.1016/S0550-3213(02)00763-0

A simple iterative procedure is suggested for the deformation quantization of (irregular) Poisson brackets associated to the classical Yang-Baxter equation. The construction is shown to admit a pure algebraic reformulation giving the Universal Deformation Formula (UDF) for any triangular Lie bialgebra. A simple proof of classification theorem for inequivalent UDF's is given. As an example the explicit quantization formula is presented for the quasi-homogeneous Poisson brackets on two-plane.

Affiliated with

Also associated with

No associations

Rating

On the Fedosov Deformation Quantization beyond the Regular Poisson 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 On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-574253