Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supertrace and superquadratic Lie structure on the Weyl algebra, with
  applications to formal inverse Weyl transform   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.

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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex