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Oct 16, 2011 at 16:54 vote accept Gunnar Þór Magnússon
Oct 16, 2011 at 12:41 comment added David Loeffler I've just re-read that and spotted a glaring error (I had claimed that the maximal compact subgroup of $Sp_{2n}$ was something that is clearly not compact!). This is what happens when I try and answer MO questions before breakfast.
Oct 16, 2011 at 12:40 history edited David Loeffler CC BY-SA 3.0
Corrected a horrible error about max compact
Oct 16, 2011 at 8:51 comment added David Loeffler I don't know; it sounds plausible, but I'm not a differential geometer.
Oct 16, 2011 at 8:49 history edited David Loeffler CC BY-SA 3.0
reworked to introduce name "symmetric space"
Oct 16, 2011 at 8:48 comment added Gunnar Þór Magnússon Interesting. You wouldn't happen to know if one can obtain a subspace of the space of (1,1)-forms in this way as well? I ask because we can define the same action on the space of forms whose imaginary part is positive-definite. If we then pick a basis and pretend that the transpose of an element makes sense then we find the Siegel half-plane in there.
Oct 16, 2011 at 8:38 history answered David Loeffler CC BY-SA 3.0