Norm based extension of reflexive modules over Weyl algebras

DOI10.2748/TMJ/1332767340zbMATH Open1241.14024arXiv1402.7153OpenAlexW1971926730MaRDI QIDQ415294

Yoshifumi Tsuchimoto

Publication date: 11 May 2012

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Abstract: We first prove that for a Weyl algebra over a field of positive characteristic, its norm based extension is locally Auslander regular. We then prove that given an algebra which is Zariski locally isomorphic to the Weyl algebra, its norm based extension similarly defined is locally Auslander regular if and only if it is isomorphic to the original Weyl algebra.

Full work available at URL: https://arxiv.org/abs/1402.7153

zbMATH Keywords

Jacobian problemnoncommutative algebraic geometryDixmier conjecture

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Jacobian problem (14R15)

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