1. CMB 2012 (vol 57 pp. 97)
||Rationality and the Jordan-Gatti-Viniberghi decomposition|
our earlier conjecture
and use it to prove that the
semisimple parts of the rational Jordan-Kac-Vinberg decompositions of
a rational vector all lie in a single rational orbit.
Keywords:reductive group, $G$-module, Jordan decomposition, orbit closure, rationality