Timeline for Are principal parabolic group scheme bundles Zariski locally trivial?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 16 at 7:38 | vote | accept | kindasorta | ||
| Oct 15 at 10:45 | answer | added | Alex Youcis | timeline score: 4 | |
| Oct 14 at 15:01 | comment | added | kindasorta | I wish I could accept an amalgam of both your answers | |
| Oct 14 at 14:51 | history | edited | LSpice | CC BY-SA 4.0 |
etale -> étale
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| Oct 14 at 14:51 | comment | added | LSpice | Re, the isogeny type of a Levi subgroup can be read off from the Dynkin diagram by deleting nodes, and derived subgroups of Levi subgroups of simply connected groups are simply connected. This almost pins down the structure; to get the rest of the way there I think you have to actually sit down and compute with root lattices. (Or you can look at the centraliser of a split torus: its eigenspaces are either self-dual, in which case you get a symplectic factor, or come in dual pairs, in which case you get a general linear factor.) | |
| Oct 14 at 13:01 | comment | added | kindasorta | Amazing, thanks! Is there an easy way to see what you said about the structure of the Levi? | |
| Oct 14 at 12:14 | comment | added | Alex Youcis | Considering the Levi decomposition reduces you to a Levi. But, the Levis of symplectic groups are themselves symplectic groups times general linear groups. But, both symplectic groups and general linear groups are special (see en.m.wikipedia.org/wiki/Special_group_(algebraic_group_theory) ). | |
| Oct 14 at 11:09 | history | edited | kindasorta | CC BY-SA 4.0 |
added 6 characters in body
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| Oct 14 at 8:15 | history | asked | kindasorta | CC BY-SA 4.0 |