Automorphisms of the Weyl algebra

Alexei Belov-Kanel; Maxim Kontsevich

Automorphisms of the Weyl algebra

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

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.

Original language	English
Pages (from-to)	181-199
Number of pages	19
Journal	Letters in Mathematical Physics
Volume	74
Issue number	2
State	Published - Nov 2005
Externally published	Yes

Keywords

Azumaya algebras
Quantization
Symplectomorphism
Weyl algebra

Cite this

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KW - Quantization

KW - Symplectomorphism

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Automorphisms of the Weyl algebra

Abstract

Keywords

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