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/