The Jacobian Conjecture for symmetric Drużkowski mappings
Volume 86 / 2005
Annales Polonici Mathematici 86 (2005), 43-46
MSC: 14R15, 14R10.
DOI: 10.4064/ap86-1-5
Abstract
Let $k$ be an algebraically closed field of characteristic zero and $F:=x+(Ax)^{*d}:k^n\rightarrow k^n$ a Drużkowski mapping of degree $\geq 2$ with $\mathop {\rm det}\nolimits JF=1$. We classify all such mappings whose Jacobian matrix $JF$ is symmetric. It follows that the Jacobian Conjecture holds for these mappings.
