The Starred Dixmier Conjecture forA1

DOI10.1080/00927872.2014.907418zbMath1330.16019arXiv1401.5141OpenAlexW1489455938MaRDI QIDQ5501047

Christian Valqui, Vered Moskowicz

Publication date: 11 August 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5141

zbMATH Keywords

Weyl algebrasendomorphismsautomorphismspolynomial ringsJacobian conjectureDixmier conjecture

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Rings of differential operators (associative algebraic aspects) (16S32)

Cites Work

• The Dixmier conjecture and the shape of possible counterexamples.
• The Jacobian conjecture for symmetric Jacobian matrices.
• Symmetric Jacobians
• Automorphisms of the Weyl algebra.
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse

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