The Van den Bergh duality and the modular symmetry of a Poisson variety

Details The Van den Bergh duality and the modular symmetry of a Poisson variety The Van den Bergh duality and the modular symmetry of a Poisson variety

2006-12-11

arxiv.org/abs/math/0612288v3

Mathematics

Quantum Algebra

28 pages

Scientific paper

We consider a smooth Poisson affine variety with the trivial canonical bundle over complex numbers. For such a variety the deformation quantization algebra A_h enjoys the conditions of the Van den Bergh duality theorem and the corresponding dualizing module is determined by an outer automorphism of A_h intrinsic to A_h. We show how this automorphism can be expressed in terms of the modular class of the corresponding Poisson variety. We also prove that the Van den Bergh dualizing module of the deformation quantization algebra A_h is free if and only if the corresponding Poisson structure is unimodular.

Affiliated with

Also associated with

No associations

Rating

The Van den Bergh duality and the modular symmetry of a Poisson variety 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 The Van den Bergh duality and the modular symmetry of a Poisson variety, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Van den Bergh duality and the modular symmetry of a Poisson variety will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-118393