Timeline for What is the Cayley projective plane?
Current License: CC BY-SA 2.5
4 events
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| Mar 16, 2016 at 18:18 | comment | added | Matthias Wendt | There is a nice relation between the $E_6$-flag variety (complex Cayley plane) and the $OP^2$ of the question: taking the quotient $F_4/Spin(9)$ for the corresponding complex Lie groups gives an affine variety which deformation retracts to $OP^2$. This affine variety is compactified by the $E_6$-flag variety, and the boundary is a flag variety for $F_4$. | |
| Oct 15, 2015 at 16:18 | comment | added | Ben McKay | The cohomology over C is vastly more complicated. Over R it is just made like any projective plane, and has a suitable cell decomposition. | |
| Jan 8, 2010 at 19:23 | comment | added | Hugh Thomas | Allen Knutson has pointed out the me that the variety I am considering is 16-dimensional over C, while the variety in question is 16-dimensional over R, so I'm definitely talking about the wrong thing here. | |
| Oct 22, 2009 at 20:21 | history | answered | Hugh Thomas | CC BY-SA 2.5 |