Timeline for Simply connectedness of algebraic group
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2010 at 14:33 | answer | added | Jim Humphreys | timeline score: 9 | |
| Mar 25, 2010 at 3:09 | comment | added | BCnrd | If we assume char 0 then the given definition of "simply connected" is correct, and the whole thing becomes an easy exercise in Galois descent. (The magic of the theory of connected semisimple groups is that it works in an essentially characteristic-free way if one defines things properly.) I recommend that if you are only interested in char. 0 then you treat this as an exercise in Galois descent and try to solve it for yourself accordingly via that technique (using a suitable "universal property" of simply connected cover over $\overline{k}$ so as to get the Galois descent datum on it). | |
| Mar 25, 2010 at 2:55 | history | edited | TJCM | CC BY-SA 2.5 |
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| Mar 25, 2010 at 2:54 | comment | added | TJCM | What if we assume char=0? | |
| Mar 25, 2010 at 2:44 | history | edited | TJCM | CC BY-SA 2.5 |
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| Mar 25, 2010 at 2:37 | history | edited | TJCM | CC BY-SA 2.5 |
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| Mar 25, 2010 at 2:22 | history | asked | TJCM | CC BY-SA 2.5 |