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arXiv · 1406.4362

Real homogenous spaces, Galois cohomology, and Reeder puzzles

Mikhail Borovoi·Zachi Evenor
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Abstract

Let G be a simply connected absolutely simple algebraic group defined over the field of real numbers R. Let H be a simply connected semisimple R-subgroup of G. We consider the homogeneous space X=G/H. We ask: How many connected components has X(R)? We give a method of answering this question. Our method is based on our solutions of generalized Reeder puzzles.

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Mikhail Borovoi, Zachi Evenor. 2016-08-04. Real homogenous spaces, Galois cohomology, and Reeder puzzles. https://arxiv.org/abs/1406.4362

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