1. CMB 2012 (vol 57 pp. 97)
|Rationality and the Jordan-Gatti-Viniberghi decomposition|
We verify 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