Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform
Representation Theory
2016-09-07 v4
Abstract
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.
Keywords
Cite
@article{arxiv.math/0507092,
title = {Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform},
author = {Georges Pinczon and Rosane Ushirobira},
journal= {arXiv preprint arXiv:math/0507092},
year = {2016}
}
Comments
26 pages; v1: added a reference, corrected typos; v2: changed title, added a reference, typos fixed