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

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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).
18 pages

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Rings and Algebras, Algebraic Geometry, 13N10, 13N15, 14R15, 14H37, 16S32

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http://salesiana.dossiersoluciones.com/handle/123456789/106156

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512215
 http://arxiv.org/abs/math/0512215

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arXiv