---
title: "Dixmier conjecture"
chunk: 1/1
source: "https://en.wikipedia.org/wiki/Dixmier_conjecture"
category: "reference"
tags: "science, encyclopedia"
date_saved: "2026-05-05T11:02:57.042829+00:00"
instance: "kb-cron"
---

In algebra the Dixmier conjecture,  asked by Jacques Dixmier in 1968, is the conjecture that any endomorphism of a Weyl algebra is an automorphism.
Tsuchimoto in 2005, and independently Belov-Kanel and Kontsevich in 2007, showed that the Dixmier conjecture is stably equivalent to the Jacobian conjecture.


== References ==