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.

Voir la notice de l'article provenant de la source Heldermann Verlag

\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 
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     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},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2006},
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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/