Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform

Details Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform

2005-07-05

arxiv.org/abs/math/0507092v4

Mathematics

Representation Theory

26 pages; v1: added a reference, corrected typos; v2: changed title, added a reference, typos fixed

Scientific paper

10.1007/s11005-005-0029-3

Using the Moyal *-product and orthosymplectic supersymmetry, we construct a natural non trivial supertrace and an associated non degenerate invariant supersymmetric bilinear form for the Lie superalgebra structure of the Weyl algebra. We decompose adjoint and twisted adjoint actions. We define a renormalized supertrace and a formal inverse Weyl transform in a deformation quantization framework and develop some examples.

Affiliated with

Also associated with

No associations

Rating

Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform 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 Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-59416