Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The inversion formula for automorphisms of the Weyl algebras and
  polynomial algebras   The inversion formula is given for automorphisms of the Weyl algebras with
polynomial coefficients over a field of characteristic zero. The theorem of
Gabber on the degree of polynomial automorphism is extended. It is proved that
any automorphism of the Weyl algebra with polynomial coefficients is determined
by its left (right) faces (extending the result of J. H. McKay and S. S.-S.
Wang for polynomial automorphisms).

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The categories of this paper are: eess
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The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
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The categories of this paper are: ao-sci