Automorphisms of the Weyl algebra

Details Automorphisms of the Weyl algebra Automorphisms of the Weyl algebra

2005-12-08

arxiv.org/abs/math/0512169v1

Lett. Math. Phys., Volume 74 (2005), Number 2, 181-199

Mathematics

Rings and Algebras

Scientific paper

10.1007/s11005-005-0027-5

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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