Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
1 to 1 of 1
I gather (via this nice MO comment) that
The functor that takes linear algebraic groups G to their ℝ-points G(ℝ) constitutes an equivalence of categories between compact Lie groups and ℝ-aniosotropic reductive algebraic groups over ℝ all whose connected components have ℝ-points.
For G as in this equivalence, then then complex Lie group G(ℂ) is the complexification of G(ℝ).
I have a gap in my education here and would like to fill it. What’s a good source that discusses this statement a bit more? And which one of Chevalley’s articles is this result originally due?
1 to 1 of 1