An Application of the Dieudonné Determinant: Detecting Non-Tame Automorphisms
Journal of Lie theory, Tome 18 (2008) no. 1, pp. 205-214
We show how to detect non-tame automorphisms by using a criterion which is based on the Dieudonn\'{e} determinant and we construct some specific non-tame automorphisms of free metabelian Lie algebras and free Lie algebras of the form $F/\gamma _{m}(F)^{{^\prime}}$.
Classification :
17B01, 17B40
Mots-clés : Dieudonne determinant, Lie algebra, non-tame automorphism
Mots-clés : Dieudonne determinant, Lie algebra, non-tame automorphism
@article{JLT_2008_18_1_JLT_2008_18_1_a12,
author = {Z. \"Ozkurt and N. Ekici},
title = {An {Application} of the {Dieudonn\'e} {Determinant:} {Detecting} {Non-Tame} {Automorphisms}},
journal = {Journal of Lie theory},
pages = {205--214},
year = {2008},
volume = {18},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a12/}
}
TY - JOUR AU - Z. Özkurt AU - N. Ekici TI - An Application of the Dieudonné Determinant: Detecting Non-Tame Automorphisms JO - Journal of Lie theory PY - 2008 SP - 205 EP - 214 VL - 18 IS - 1 UR - http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a12/ ID - JLT_2008_18_1_JLT_2008_18_1_a12 ER -
Z. Özkurt; N. Ekici. An Application of the Dieudonné Determinant: Detecting Non-Tame Automorphisms. Journal of Lie theory, Tome 18 (2008) no. 1, pp. 205-214. http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a12/