Timeline for Cohomology groups of homogeneous spaces
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Oct 21, 2011 at 4:36 | history | edited | Allen Knutson | CC BY-SA 3.0 |
H is torus -> H contains torus
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Oct 21, 2011 at 1:36 | comment | added | algori | Dear Faisal -- you are right about the connectedness of $H$. E.g., $S^2=SO(3)/SO(2)$ and $\mathbb{P}^2(\mathbb{R})=SO(3)/\pm SO(2)$. | |
Oct 21, 2011 at 0:35 | comment | added | Faisal | Also, it might be helpful to say in words that the cohomology of $C^\ast(g,h,A)$ is precisely the relative Lie algebra cohomology $H^\ast(g,h,A)$. | |
Oct 21, 2011 at 0:33 | comment | added | Faisal | Hi algori, I hope you don't mind, but I edited your answer to fix a few typos. I also added the (necessary) assumption that both $H$ and $G$ be connected. | |
Oct 21, 2011 at 0:30 | history | edited | Faisal | CC BY-SA 3.0 |
added 15 characters in body
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Oct 20, 2011 at 23:59 | history | answered | algori | CC BY-SA 3.0 |