5
votes
0answers
89 views

Motivation?: Lie algebra and algebraic group Cohomology

This is just an a-priori 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. ...
3
votes
1answer
93 views

cohomology of the additive group of imperfect field

In Springer's Encyclopaedia of Mathematics> Galois Cohomology, it is mentioned that For an imperfect field $k$, $H^1(k,\mathbb{G}_a)\neq 0$ in general. I'm looking for such an example or a ...