Timeline for Intersections of conjugates of Lie subgroups
Current License: CC BY-SA 2.5
3 events
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| Mar 13, 2011 at 17:54 | comment | added | Jim Humphreys | @Guntram: There are certainly such well-focused special cases which are interesting, but the question as asked is too broad and the third paragraph there illustrates the need for cautionary examples. | |
| Mar 13, 2011 at 14:36 | comment | added | Guntram | I disagree with your premise. Clearly, if you have a transitive action of a Lie group, it is of interest to study the fixator of two points. This motivates the study of $G/H$ and the intersection of two conjugates of $H$. In the case of a two-transitive action, there is even a very interesting answer available: these actions have been classified by Tits (and Borel). See L. Kramer, Two-transitive Lie groups, for a beautiful exposition and simplified proof. | |
| Mar 13, 2011 at 13:21 | history | answered | Jim Humphreys | CC BY-SA 2.5 |