kb/data/en.wikipedia.org/wiki/Dixmier_conjecture-0.md

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---
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 ==