Timeline for Simply connected simple algebraic groups
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2013 at 6:48 | comment | added | Jay Taylor | You will sometimes see such naming conventions used, especially for finite reductive groups. For instance people sometimes write $E_6^{sc}(q)$. I would imagine the reason for the way it's written is the following. When proving certain theorems about connected reductive algebraic groups you reduce to the case where G is simple and either adjoint or simply connected. You will then often analyse each type individually. So one would start with "let G be a simple simply connected algebraic group" and then proceed to "assume that G is of type A_n" for instance. | |
| Feb 28, 2013 at 18:31 | history | edited | Demin Hu | CC BY-SA 3.0 |
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| Feb 28, 2013 at 18:19 | history | edited | Demin Hu | CC BY-SA 3.0 |
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| Feb 28, 2013 at 17:40 | vote | accept | Demin Hu | ||
| Feb 26, 2013 at 20:21 | comment | added | YCor | @Demin: for each given type there is a simply connected algebraic group of this type, unique up to isomorphism. | |
| Feb 26, 2013 at 19:32 | comment | added | Jim Humphreys | @Demin: The question is "simple" (so to speak) but takes extra thought in prime characteristic. Since people tend to think about the notion of simply connected in topological terms for Lie groups, it's always a good idea to add a reminder about the meaning in the algebraic setting of Chevalley's seminar on classification. | |
| Feb 26, 2013 at 18:41 | answer | added | George Melvin | timeline score: 8 | |
| Feb 26, 2013 at 18:23 | answer | added | Jay Taylor | timeline score: 16 | |
| Feb 26, 2013 at 17:58 | history | asked | Demin Hu | CC BY-SA 3.0 |