A+ CATEGORY SCIENTIFIC UNIT

Triangularization properties of power linear maps and the Structural Conjecture

Volume 112 / 2014

Michiel de Bondt, Dan Yan Annales Polonici Mathematici 112 (2014), 247-266 MSC: Primary 14R10; Secondary 14R15. DOI: 10.4064/ap112-3-4

Abstract

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.

Authors

  • Michiel de BondtDepartment of Mathematics
    Radboud University
    Nijmegen, The Netherlands
    e-mail
  • Dan YanSchool of Mathematical Sciences
    Graduate University of
    Chinese Academy of Sciences
    Beijing 100049, China
    e-mail

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