Supertrace and Superquadratic Lie Structure on the Weyl Algebra,and Applications to Formal Inverse Weyl Transform期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Supertrace and Superquadratic Lie Structure on the Weyl Algebra,and Applications to Formal Inverse Weyl Transform

Authors:	G.?Pinczon mailto:gpinczon@u-bourgogne.fr" title=" gpinczon@u-bourgogne.fr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,R?Ushirobira

Affiliation:	(1) Institut de Mathématiques de Bourgogne, Université de Bourgogne, B.P. 47870, F-21078 Dijon Cedex, France

Abstract:	Using the Moyal *-product and orthosymplectic supersymmetry, we construct a natural nontrivial supertrace and an associated nondegenerate invariant supersymmetric bilinear form for the Lie superalgebra structure of the Weyl algebra W. 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 Mathematics Subject Classification: 53D55, 17B05, 17B10, 17B20, 17B60, 17B65

Keywords:	Deformation quantization supersymmetry Weyl algebra supertrace renormalization formal inverse Weyl transform
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