Some of the completely integrable Hamiltonian systems obtained through Adler-Kostant-Symes theorem rely on two distinct Lie algebra structures on the same underlying vector space. We study here the cases when two structures are linked together by deformations.
@article{urn:eudml:doc:41179, title = {Syst\`emes hamiltoniens compl\`etement int\'egrables et d\'eformations d'alg\`ebres de Lie.}, journal = {Publicacions Matem\`atiques}, volume = {38}, year = {1994}, pages = {427-431}, mrnumber = {MR1316637}, zbl = {0843.58063}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41179} }
Ammar, Faouzi. Systèmes hamiltoniens complètement intégrables et déformations d'algèbres de Lie.. Publicacions Matemàtiques, Tome 38 (1994) pp. 427-431. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41179/