Timeline for Naive question about the representation theory of algebraic groups and hopf algebras
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 31, 2013 at 14:14 | vote | accept | Daniel Barter | ||
| Mar 31, 2013 at 11:40 | answer | added | Sergei Akbarov | timeline score: 3 | |
| Mar 31, 2013 at 4:34 | comment | added | user30379 | @Qiaochu: the smallest counterexample is $G = \mathbf{Z}/(2)$ since there has been some sloppiness about connectedness hypotheses (a genuine issue in view of Instance 1), though $S^1$ is the smallest "interesting" counterexample. Actually, the compact form $PSU(2)$ of $PGL_2$ is the smallest genuinely interesting counterexample. | |
| Mar 30, 2013 at 21:58 | answer | added | Jim Humphreys | timeline score: 6 | |
| Mar 30, 2013 at 20:40 | comment | added | Daniel Barter | @Qiaochu: ahh i didn't know this. At the very least a representation of G gives you a representation of the universal cover | |
| Mar 30, 2013 at 20:15 | answer | added | Sam Gunningham | timeline score: 10 | |
| Mar 30, 2013 at 20:07 | comment | added | Qiaochu Yuan | Instance 2 is only true when $G$ is simply-connected; the smallest counterexample is $G = S^1$. | |
| Mar 30, 2013 at 19:07 | history | edited | Daniel Barter | CC BY-SA 3.0 |
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| Mar 30, 2013 at 19:07 | comment | added | Daniel Barter | oh right, you mean the coordinate ring? that makes sense... Also I have removed the second question. | |
| Mar 30, 2013 at 18:58 | comment | added | Marc Palm | These are two totally different questions. I would suggest to seperate them. And for the first one, the spectrum of an algebraic group is a hopf algebra. | |
| Mar 30, 2013 at 18:47 | history | asked | Daniel Barter | CC BY-SA 3.0 |