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Timeline for Cohomology of Flag Varieties

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Apr 19, 2010 at 20:03 comment added Leonid Positselski Oh, so this is called the Iwasawa decomposition. I used to know this, but it was a long time ago.
Apr 19, 2010 at 5:34 comment added Torsten Ekedahl One way of getting this isomorphism is that it is a special case of the Iwasawa decomposition for a general semi-simple (real) Lie group. This allows us to get many specific references, Helgason for instance.
Apr 19, 2010 at 1:11 comment added Allen Knutson Oddly, in the infinite-dimensional case the most relevant map is the other way, and is only a homotopy equivalence, as one can read about in [Pressley-Segal] "Loop Groups".
Apr 17, 2010 at 21:22 history answered Leonid Positselski CC BY-SA 2.5