A short proof of Timashev's theorem on the real component group of a real reductive group

Abstract

Using results of Cartan, Matsumoto, and Casselman, we give a short proof of Timashev's theorem computing the real component group π_0 G(R) of a connected reductive real algebraic group G in terms of a maximal torus of G containing a maximal split torus.

arXiv comment4 pages