Dixmier conjecture

In algebra the Dixmier conjecture, asked by Jacques Dixmier in 1968,[1] is the conjecture that any endomorphism of a Weyl algebra is an automorphism.

Tsuchimoto in 2005,[2] and independently Belov-Kanel and Kontsevich in 2007,[3] showed that the Dixmier conjecture is stably equivalent to the Jacobian conjecture.

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