Timeline for Cartan subgroups of p-adic groups.
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| May 21, 2011 at 2:22 | answer | added | JGordon | timeline score: 6 | |
| Apr 4, 2011 at 19:54 | answer | added | Moshe Adrian | timeline score: 11 | |
| Mar 31, 2011 at 18:45 | comment | added | Peter McNamara | @Colin: connected must refer to Zariski topology. In p-adic topology, groups are totally disconnected. | |
| Mar 31, 2011 at 17:51 | history | edited | Jim Humphreys | CC BY-SA 2.5 |
edited title
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| Mar 31, 2011 at 16:13 | comment | added | Jim Humphreys | And what do you mean here by "Cartan subgroup"? Classically, in a real Lie group this is a closed connected subgroup whose Lie algebra is a Cartan subalgebra of the Lie algebra of the given group (nilpotent and equal to its normalizer). For any (Zariski)-connected algebraic group, a Cartan subgroup can be defined to be the centralizer of a maximal torus; such groups are connected and all conjugate, also nilpotent and self-normalizing. The notion is compatible with a field of definition. Is your group the group of rational points of an algebraic group defined over a local field? | |
| Mar 31, 2011 at 11:27 | comment | added | Colin Reid | Could you clarify which topology 'connected' refers to here? | |
| Mar 31, 2011 at 11:04 | history | asked | Jim Riel | CC BY-SA 2.5 |