Universal transitivity of simple and 2-simple prehomogeneous vector spaces
T. Kimura, S. Kasai, H. Hosokawa (1988)
Annales de l'institut Fourier
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We denote by a field of characteristic zero satisfying . Let be a connected -split linear algebraic group acting on rationally by with a Zariski-dense -orbit . A prehomogeneous vector space ,X) is called “universally transitive” if the set of -rational points is a single -orbit for all such . Such prehomogeneous vector spaces are classified by J. Igusa when is irreducible. We classify them when is reductive and its commutator subgroup is either...