• Corpus ID: 235658743

Real points in a homogeneous space of a real algebraic group

@inproceedings{Borovoi2021RealPI,
  title={Real points in a homogeneous space of a real algebraic group},
  author={Mikhail Borovoi},
  year={2021}
}
Let G be a linear algebraic group over the field of real numbers R, and let Y be a right homogeneous space of G. We wish to find a real point of Y or to prove that Y has no real points. We describe a method to do that, implicitly using second nonabelian Galois cohomology. Our method is suitable for computer-assisted calculations. 
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