. R A ] 8 D ec 2 00 5 Automorphisms of the Weyl algebra Alexei Belov - Kanel and Maxim Kontsevich February 2 , 2008

نویسندگان

  • Alexei Belov-Kanel
  • Maxim Kontsevich
چکیده

We discuss a conjecture which says that the automorphism group of the Weyl algebra in characteristic zero is canonically isomorphic to the automorphism group of the corresponding Poisson algebra of classical polynomial symbols. Several arguments in favor of this conjecture are presented, all based on the consideration of the reduction of the Weyl algebra to positive characteristic.

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تاریخ انتشار 2005