Automorphisms of the Weyl algebra

Alexei Belov-Kanel, Maxim Kontsevich

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41 Scopus citations


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.

Original languageEnglish
Pages (from-to)181-199
Number of pages19
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Nov 2005
Externally publishedYes


  • Azumaya algebras
  • Quantization
  • Symplectomorphism
  • Weyl algebra


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