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Automorphisms of the Weyl Algebra

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Abstract

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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Authors and Affiliations

  1. Institute of Mathematics, Hebrew University, Givat Ram, Jerusalem, 91904, Israel

    Alexei Belov-Kanel

  2. IHES, 35 route de Chartres, F-91440, Bures-sur-Yvette, France

    Maxim Kontsevich

Authors
  1. Alexei Belov-Kanel
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  2. Maxim Kontsevich
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Correspondence to Maxim Kontsevich.

Additional information

Mathematics Subject Classification (2000) 13N10, 16S32, 16H05

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Belov-Kanel, A., Kontsevich, M. Automorphisms of the Weyl Algebra. Lett Math Phys 74, 181–199 (2005). https://doi.org/10.1007/s11005-005-0027-5

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  • DOI: https://doi.org/10.1007/s11005-005-0027-5

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