Quantization of symplectic vector spaces over finite fields

Details Quantization of symplectic vector spaces over finite fields Quantization of symplectic vector spaces over finite fields

2007-05-31

arxiv.org/abs/0705.4556v4

Journal of Symplectic Geometry, Volume 7, Number 4, 1-28, 2009

Mathematics

Representation Theory

Results obtained: March 2005 (under the direction of Ph.D. advisor Joseph Bernstein, Tel-Aviv, Israel) Keywords: Strong Stone-

Scientific paper

In this paper, we construct a quantization functor, associating a complex vector space H(V) to a finite dimensional symplectic vector space V over a finite field of odd characteristic. As a result, we obtain a canonical model for the Weil representation of the symplectic group Sp(V). The main new technical result is a proof of a stronger form of the Stone-von Neumann property for the Heisenberg group. Our result answers, for the case of the Heisenberg group, a question of Kazhdan about the possible existence of a canonical vector space attached to a coadjoint orbit of a general unipotent group over finite field.

Affiliated with

Also associated with

No associations

Rating

Quantization of symplectic vector spaces over finite fields 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 symplectic vector spaces over finite fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of symplectic vector spaces over finite fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288710