The Journal of the Indian Mathematical Society

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A Note on Orbits of Reductive Groups


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1 Tata Institute of Fundamental Research, Colaba, Bombay-400 005, India
     

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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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  • A Note on Orbits of Reductive Groups

Abstract Views: 167  |  PDF Views: 0

Authors

M. S. Raghunathan
Tata Institute of Fundamental Research, Colaba, Bombay-400 005, India

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.