Timeline for Bruhat order and Schubert cycles
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Apr 15, 2014 at 13:14 | comment | added | Jim Humphreys | P.S. I'm still not sure what you mean by "flag manifold" for an arbitrary semisimple Lie group without compact factors. In the mostly equivalent algebraic setting, what Borel and Tits do seems to be optimal but deals with some $G/P$ and its points over the field. | |
| Apr 14, 2014 at 22:53 | answer | added | Jim Humphreys | timeline score: 2 | |
| Apr 14, 2014 at 22:09 | history | edited | Misha | CC BY-SA 3.0 |
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| Apr 14, 2014 at 21:34 | comment | added | Jim Humphreys | @Misha: You need to clarify the precise set-up you have in mind for a real semisimple Lie group. In the extreme cases where this group is compact (with flag variety/manifold $G/T$) or is split, the complex case adapts well. But in general, there may be no Borel subgroup over $\mathbb{R}$ to use in the construction, and the Weyl group relative to a minimal parabolic is only a relative version of the usual Weyl group. It gets complicated. | |
| Apr 14, 2014 at 21:24 | comment | added | user76758 | Are you considering "split" groups (equivalently, is the Lie algebra split), or general semisimple groups (with their associated relative root systems in the sense of Borel-Tits)? | |
| Apr 14, 2014 at 21:15 | answer | added | Dave Anderson | timeline score: 3 | |
| Apr 14, 2014 at 19:56 | answer | added | Michael Joyce | timeline score: 2 | |
| Apr 14, 2014 at 19:53 | answer | added | Victor Petrov | timeline score: 2 | |
| Apr 14, 2014 at 19:43 | history | asked | Misha | CC BY-SA 3.0 |