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Results tagged with rt.representation-theory
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user 3927
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
18
votes
Are complex semisimple Lie groups matrix groups?
In the spirit of the title of the question, the argument doesn't quite prove that $G$ is a matrix group, since more input is needed to prove that the faithful representation has closed image which is …
- 7,108
6
votes
Accepted
An arithmetic highest weight theory?
Johnson, you have one of the foremost experts in the world on such matters (over general fields) just upstairs from your office. Make use of that.
Many of the basic constructions work for split gr …
- 7,108
4
votes
When does Tannakian theory work over affine schemes besides fields?
There is a nice recent paper by Michael Broshi on the arxiv which is related to this theme when the base is a Dedekind scheme (such as Dedekind domain, or regular proper curve over a field).
- 7,108
26
votes
Why are Tamagawa numbers equal to Pic/Sha?
I assume $G$ is affine. The quick answer is that in the simply connected case it says $1 = 1/1$ by various hard ingredients, and then it is a kind of (not easy) game with Galois cohomology and structu …