Geodesic
Triangularization properties of power linear maps and the Structural Conjecture
Michiel de Bondt1 ; Dan Yan2
1 Department of Mathematics Radboud University Nijmegen, The Netherlands
2 School of Mathematical Sciences Graduate University of Chinese Academy of Sciences Beijing 100049, China
Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 247-266 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ap112-3-4
Keywords: discuss several additional properties power linear keller map may have structural conjecture dru kowski asserts certain properties equivalent stronger other even property linear triangularizability strictly between furthermore positive results small dimensions small jacobian ranks

Michiel de Bondt 1 ; Dan Yan 2

1 Department of Mathematics Radboud University Nijmegen, The Netherlands
2 School of Mathematical Sciences Graduate University of Chinese Academy of Sciences Beijing 100049, China 
@article{10_4064_ap112_3_4,
     author = {Michiel de Bondt and Dan Yan},
     title = {Triangularization properties of power linear maps and the {Structural} {Conjecture}},
     journal = {Annales Polonici Mathematici},
     pages = {247--266},
     year = {2014},
     volume = {112},
     number = {3},
     doi = {10.4064/ap112-3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-4/}
}
TY  - JOUR
AU  - Michiel de Bondt
AU  - Dan Yan
TI  - Triangularization properties of power linear maps and the Structural Conjecture
JO  - Annales Polonici Mathematici
PY  - 2014
SP  - 247
EP  - 266
VL  - 112
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-4/
DO  - 10.4064/ap112-3-4
LA  - en
ID  - 10_4064_ap112_3_4
ER  - 
%0 Journal Article
%A Michiel de Bondt
%A Dan Yan
%T Triangularization properties of power linear maps and the Structural Conjecture
%J Annales Polonici Mathematici
%D 2014
%P 247-266
%V 112
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-4/
%R 10.4064/ap112-3-4
%G en
%F 10_4064_ap112_3_4
Michiel de Bondt; Dan Yan. Triangularization properties of power linear maps and the Structural Conjecture. Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 247-266. doi: 10.4064/ap112-3-4

Cité par Sources :