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Oct 6, 2013 at 13:26 comment added Reladenine Vakalwe I seem to have caused some confusion. I am working with algebraic groups over $\mathbb{C}$. The involution $\theta$ is a morphism of varieties. The subgroup $K$ is not a maximal compact.
Oct 6, 2013 at 2:33 history answered Zhaoting Wei CC BY-SA 3.0