Real points in a homogeneous space of a real algebraic group
Algebraic Geometry
2021-07-09 v2 Group Theory
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2106.14871,
title = {Real points in a homogeneous space of a real algebraic group},
author = {Mikhail Borovoi},
journal= {arXiv preprint arXiv:2106.14871},
year = {2021}
}
Comments
V1: 18 pages, V2: 22 pages. An appendix added