# 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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