Geodesic
On Centralizers of Elements in the Lie Algebra of the Special Cremona Group SA2(k)
Journal of Lie theory, Tome 16 (2006) no. 3, pp. 561-567 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

\def\div{\mathop{\rm div}\nolimits} \def\Der{\mathop{\rm Der}\nolimits} We give a description of maximal abelian subalgebras and centralizers of elements in the Lie algebra $sa_2(k)=\{D\in \Der k[x,y] \mid \div D = 0\}$ over an algebraically closed field $k$ of characteristic $0$. This description is given in terms of closed polynomials.
Classification : 17B65, 17B05
Mots-clés : Lie algebra, derivation, closed polynomial maximal abelian subalgebra 
@article{JLT_2006_16_3_JLT_2006_16_3_a7,
     author = {A. P. Petravchuk and O. G. Iena },
     title = {On {Centralizers} of {Elements} in the {Lie} {Algebra} of the {Special} {Cremona} {Group} {SA\protect\textsubscript{2}(k)}},
     journal = {Journal of Lie theory},
     pages = {561--567},
     year = {2006},
     volume = {16},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a7/}
}
TY  - JOUR
AU  - A. P. Petravchuk
AU  - O. G. Iena 
TI  - On Centralizers of Elements in the Lie Algebra of the Special Cremona Group SA2(k)
JO  - Journal of Lie theory
PY  - 2006
SP  - 561
EP  - 567
VL  - 16
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a7/
ID  - JLT_2006_16_3_JLT_2006_16_3_a7
ER  - 
%0 Journal Article
%A A. P. Petravchuk
%A O. G. Iena 
%T On Centralizers of Elements in the Lie Algebra of the Special Cremona Group SA2(k)
%J Journal of Lie theory
%D 2006
%P 561-567
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a7/
%F JLT_2006_16_3_JLT_2006_16_3_a7
A. P. Petravchuk; O. G. Iena . On Centralizers of Elements in the Lie Algebra of the Special Cremona Group SA2(k). Journal of Lie theory, Tome 16 (2006) no. 3, pp. 561-567. http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a7/