Two properties of endomorphisms of Weyl algebras

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

202 Downloads (Pure)

Abstract

We show that endomorphisms of Weyl algebras over fields of characteristic zero are flat and that birational endomorphisms are automorphisms by reducing to positive characteristic. We also give examples showing that endomorphisms of Weyl algebras are not in general flat over fields of positive characteristic.
Original languageEnglish
JournalJournal of Algebra
Volume479
Pages (from-to)137-158
Number of pages22
ISSN0021-8693
DOIs
Publication statusPublished - 2017

Keywords

  • Dixmier conjecture
  • Positive characteristic
  • Weyl algebra

Fingerprint

Dive into the research topics of 'Two properties of endomorphisms of Weyl algebras'. Together they form a unique fingerprint.

Cite this