Displaying similar documents to “Lifting smooth curves over invariants for representations of compact Lie groups. II.”

Dickson curves.

Gomez-Calderon, Javier (2006)

International Journal of Mathematics and Mathematical Sciences

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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

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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 ) ( k ) -orbit for all such k . Such prehomogeneous vector spaces are classified by J. Igusa when ρ is irreducible. We classify them when G is reductive and its commutator subgroup [ G , G ] is either...