Thursday, August 19, 2010

hmmm.... some more belated realizations of apparently obvious stuff.... first of all, there's some sort of "coincidence" that the invariant contact distributions on partial flag varieties generally seem to be on those ones associated with the _adjoint_ representation... and working out why leads to some obvious/fun/tricky stuff... or something like that...

consider "the coadjoint orbit of a highest weight vector" ... or something like that.... ????.....

??so what about relationships between "incidence geometry for partial flags" and "geometric quantization" here ??? .... and so forth ... ??.....

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