Rationality and the Jordan-Gatti-Viniberghi decomposition

Mathematics – Algebraic Geometry

Scientific paper

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Minor errors fixed (including a mis-copied definition). 7 pages

Scientific paper

We verify the conjecture of [9] 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.

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