Deformation quantization and invariant distributions

Details Deformation quantization and invariant distributions Deformation quantization and invariant distributions

1999-05-12

arxiv.org/abs/math/9905065v2

Mathematics

Quantum Algebra

6 pages, English + abridged French version (C. R. Acad. Sci. format). This is a short note, the expanded version will follow

Scientific paper

10.1016/S0764-4442(00)00104-X

In 1979, M. Kashiwara and M. Vergne formulated a conjecture on a Lie group G which implies that the Duflo isomorphism of Z(g) and S(g)^g extends to a natural module isomorphism between the spaces of germs of invariant distributions on G and g=Lie(G), respectively. They also proved their conjecture for G solvable. Using Kontsevich's deformation quantization we establish directly this result for distributions on any real Lie group G. In turn this gives a new proof of Duflo's result on the local solvability of bi-invariant differential operators on G.

Affiliated with

Also associated with

No associations

Rating

Deformation quantization and invariant distributions 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 Deformation quantization and invariant distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformation quantization and invariant distributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-47986