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.
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.