Quantization of volume-preserving actions on R^d

Details Quantization of volume-preserving actions on R^d Quantization of volume-preserving actions on R^d

2012-02-04

arxiv.org/abs/1202.0886v1

Physics

Mathematical Physics

16 pages

Scientific paper

We associate a space of unitary representations (which we call quantizations) with a volume-preserving action of a Lie group on R^d. These representations are expressed in terms of certain Fourier integral operators deforming the pullback of functions by diffeomorphisms. They are determined by a system of amplitudes, which we show to be controlled by a Maurer-Cartan equation in an appropriate differential graded algebra. We apply our quantization scheme to the Heisenberg group by quantizing its adjoint action.

Affiliated with

Also associated with

No associations

Rating

Quantization of volume-preserving actions on R^d 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 Quantization of volume-preserving actions on R^d, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of volume-preserving actions on R^d will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330357