A Note on Orbits of Reductive Groups
Abstract
Let k be a field. We will say that the field k has property (A) if the following holds.
Let V be a vector space defined over k and G ⊂ GL(V) a reductive algebraic k-subgroup. Let Vk denote the k-rational points of V. Let v ∈ Vk and X = Gv.
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Copyright (c) 1974 M. S. Raghunathan
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References
D. BIRKES, Orbits of linear algebraic groups. Annals of Math. 93 (1971), 459-475.
A. BOREL, Introduction aux Croupes Arithmetiques, Hermann, Paris, 1969.
D. MUMFORD, Geometric Invariant Theory, Springer Verlag, 1965.
A. WEIL, Ad ties and Algebraic Groups, Princeton.