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Universal transitivity of simple and 2-simple prehomogeneous vector spaces

T. Kimura, S. Kasai, H. Hosokawa (1988)

Annales de l'institut Fourier

We denote by k a field of characteristic zero satisfying H 1 ( k , Aut ( S L 2 ) ) 0 . Let G be a connected k -split linear algebraic group acting on X = Aff n rationally by ρ with a Zariski-dense G -orbit Y . A prehomogeneous vector space ( G , ρ ,X) is called “universally transitive” if the set of k -rational points Y ( k ) is a single ρ ( G ) ...

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