Timeline for Algebraic groups of relative rank 1
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Feb 20, 2010 at 22:37 | history | edited | Bjorn Poonen | CC BY-SA 2.5 |
corrected a typo
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| Feb 18, 2010 at 7:50 | vote | accept | Guntram | ||
| Feb 17, 2010 at 2:46 | comment | added | BCnrd | Bjorn, a variant for any ring with trivial Pic: use GO(q). (I take O(q) and SO(q) with scheme definitions.) Aside from n=8, GO(q) is an extension of the aut scheme of SO(q)^0 by G_m, as one checks by tracking connectedness properties. Need extra care in char. 2 fibers since then O(q) = SO(q) \times \mu_2 when n is odd but SO(q) = O(q) is disconnected with 2 components when n is even (because permutations of coordinates for the standard q give a subgroup on N_G(T)/T twice as big as the Weyl group, so stuff sticks out of the identity component). Triality is still puzzling me. | |
| Feb 16, 2010 at 17:10 | history | answered | Bjorn Poonen | CC BY-SA 2.5 |