Triangularization properties of power linear maps and the Structural Conjecture

• Autorzy: Michiel de Bondt , Dan Yan
• Języki publikacji: EN

Abstrakty

EN

We discuss several additional properties a power linear Keller map may have. The Structural Conjecture of Drużkowski (1983) asserts that certain two such properties are equivalent, but we show that one of them is stronger than the other. We even show that the property of linear triangularizability is strictly in between. Furthermore, we give some positive results for small dimensions and small Jacobian ranks.

Kategorie tematyczne

• 14R10: Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
• 14R15: Jacobian problem

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 3
• Strony: 247-266

Daty

wydano

2014

Twórcy

autor

Michiel de Bondt

• Department of Mathematics, Radboud University, Nijmegen, The Netherlands

autor

Dan Yan

• School of Mathematical Sciences, Graduate University of, Chinese Academy of Sciences, Beijing 100049, China

Identyfikatory

DOI

10.4064/ap112-3-4