Geodesic
Rationality and the Jordan–Gatti–Viniberghi Decomposition
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 97-104

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DOI

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.
DOI : 10.4153/CMB-2012-039-0
Mots-clés : 20G15, 14L24, reductive group, G-module, Jordan decomposition, orbit closure, rationality 
Levy, Jason. Rationality and the Jordan–Gatti–Viniberghi Decomposition. Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 97-104. doi: 10.4153/CMB-2012-039-0
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     title = {Rationality and the {Jordan{\textendash}Gatti{\textendash}Viniberghi} {Decomposition}},
     journal = {Canadian mathematical bulletin},
     pages = {97--104},
     year = {2014},
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     doi = {10.4153/CMB-2012-039-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-039-0/}
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