Timeline for classifying space of algebraic groups
Current License: CC BY-SA 3.0
5 events
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Oct 16, 2016 at 14:44 | comment | added | Tyler Lawson | I'm not 100% clear on the question. Can you please clarify which diagram of parabolics that you mean? The group $G$ is maximal among parabolic subgroups and so, if you take the hocolim over all parabolics, you just recover the value on the maximal object $BG$. If you are restricting attention to proper parabolics then this is a different question. However, you mention having a Borel pair and so it seems like you might want to restrict to either parabolics containing $B$ or those containing $T$; in the former case it seems like a counterexample is given by $GL_2$. | |
S Oct 16, 2016 at 6:24 | history | suggested | AHusain | CC BY-SA 3.0 |
Typos and classifying-spaces tag
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Oct 16, 2016 at 6:02 | review | Suggested edits | |||
S Oct 16, 2016 at 6:24 | |||||
Oct 16, 2016 at 5:56 | history | edited | prochet | CC BY-SA 3.0 |
added 38 characters in body
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Oct 16, 2016 at 4:24 | history | asked | prochet | CC BY-SA 3.0 |