A short proof of Timashev's theorem on the real component group of a real reductive group
Group Theory
2022-04-26 v1 Algebraic Geometry
Representation Theory
Abstract
Using results of Cartan, Matsumoto, and Casselman, we give a short proof of Timashev's theorem computing the real component group \pi_0 G(R) of a connected reductive real algebraic group G in terms of a maximal torus of G containing a maximal split torus.
Keywords
Cite
@article{arxiv.2204.11482,
title = {A short proof of Timashev's theorem on the real component group of a real reductive group},
author = {Mikhail Borovoi and Ofer Gabber},
journal= {arXiv preprint arXiv:2204.11482},
year = {2022}
}
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4 pages