The inversion formula for automorphisms of the Weyl algebras and polynomial algebras

Details The inversion formula for automorphisms of the Weyl algebras and polynomial algebras The inversion formula for automorphisms of the Weyl algebras and polynomial algebras

2005-12-10

arxiv.org/abs/math/0512215v1

Mathematics

Rings and Algebras

18 pages

Scientific paper

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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