The Jacobian Conjecture for symmetric Drużkowski mappings

Michiel de Bondt, and Arno van den Essen. "The Jacobian Conjecture for symmetric Drużkowski mappings." Annales Polonici Mathematici 86.1 (2005): 43-46. <http://eudml.org/doc/280408>.

@article{MichieldeBondt2005,
abstract = {Let k be an algebraically closed field of characteristic zero and $F:= x + (Ax)^\{*d\}: kⁿ → kⁿ$ a Drużkowski mapping of degree ≥ 2 with det JF = 1. We classify all such mappings whose Jacobian matrix JF is symmetric. It follows that the Jacobian Conjecture holds for these mappings.},
author = {Michiel de Bondt, Arno van den Essen},
journal = {Annales Polonici Mathematici},
keywords = {Jacobian Conjecture; Drużkowski mapping},
language = {eng},
number = {1},
pages = {43-46},
title = {The Jacobian Conjecture for symmetric Drużkowski mappings},
url = {http://eudml.org/doc/280408},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Michiel de Bondt
AU - Arno van den Essen
TI - The Jacobian Conjecture for symmetric Drużkowski mappings
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 1
SP - 43
EP - 46
AB - Let k be an algebraically closed field of characteristic zero and $F:= x + (Ax)^{*d}: kⁿ → kⁿ$ a Drużkowski mapping of degree ≥ 2 with det JF = 1. We classify all such mappings whose Jacobian matrix JF is symmetric. It follows that the Jacobian Conjecture holds for these mappings.
LA - eng
KW - Jacobian Conjecture; Drużkowski mapping
UR - http://eudml.org/doc/280408
ER -