This is just an apriori question to get a motivational heuristic idea:

If an algebraic group G (more generally, G an affine group scheme), is connected over an algebraically closed base-field k. Then are there relationships between its rational cohomology and the cohomology of its lie algebra?

In short, what information does each give about G (if these differ)?

What articles written on the subject?

  • $\begingroup$ Have you had a look in Jantzen's book on algebraic groups? I recall it covering the basics and giving some good references. $\endgroup$ – Tobias Kildetoft Jan 19 '19 at 15:09

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