Timeline for Tannakian fundamental group for finitely linear representation of group
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 26, 2012 at 0:35 | answer | added | S. Carnahan♦ | timeline score: 3 | |
| Dec 25, 2012 at 23:46 | comment | added | ChrisLazda | The pro-algebraic hull is the inverse limit over all finite dimensional representations of G of the Zariski closure of the image of G in GL_n. It's maybe worth pointing out that pro-algebraic hulls can be real beasts. For example, if G=Z, the integers, and k=C, the complexes, then the C-points of pro-algebraic hull is isomorphic to the direct sum of the additive group C and the group of all endomorphisms of the multiplicative group C^*. | |
| Dec 25, 2012 at 10:12 | comment | added | John Pardon | @S. Carnahan: could you also define "pro-algebraic hull" (a definition doesn't seem to be immediately available by searching)? | |
| Dec 25, 2012 at 8:57 | comment | added | Niels | @ S. Carnahan : that is right. You may turn your comment into an answer ? | |
| Dec 25, 2012 at 6:18 | comment | added | S. Carnahan♦ | If I'm not mistaken, the group of automorphisms of the fiber functor is the pro-algebraic hull of the original group. | |
| Dec 25, 2012 at 6:15 | comment | added | S. Carnahan♦ | If $G$ is infinite, then the constant group scheme $G$ is not affine. | |
| Dec 25, 2012 at 2:49 | history | asked | kiseki | CC BY-SA 3.0 |