Mixing
Motivation?: Lie algebra and algebraic group Cohomology
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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?
algebraic-geometry lie-algebras homology-cohomology algebraic-groups group-schemes
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
$endgroup$
add a comment |
$begingroup$
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?
algebraic-geometry lie-algebras homology-cohomology algebraic-groups group-schemes
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
$endgroup$
$begingroup$
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 at 15:09
add a comment |
$begingroup$
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?
algebraic-geometry lie-algebras homology-cohomology algebraic-groups group-schemes
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
$endgroup$
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?
algebraic-geometry lie-algebras homology-cohomology algebraic-groups group-schemes
algebraic-geometry lie-algebras homology-cohomology algebraic-groups group-schemes
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
edited Jan 19 at 12:50
AIM_BLB
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
asked Sep 9 '13 at 4:11
AIM_BLBAIM_BLB
2,5122819
2,5122819
$begingroup$
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 at 15:09
add a comment |
$begingroup$
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 at 15:09
$begingroup$
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 at 15:09
$begingroup$
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 at 15:09
add a comment |
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$begingroup$
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 at 15:09