??so... ??the coadjoint partial flag variety is a codimension 1 quotient space of the coadjoint orbit containing a(/the?? os???) highest weight vector... ??so it makes some sense for the former to be contact while the latter is symplectic ... ???os??? .... asf os...

??this is vaguely reminding me of stuff about treating the poisson operad as a graded operad and certain poisson algebras as graded models of it...???os???.... in connection with coadjoint rep ... os... asf os...

???w_a_ sa "a vs the" highest weight vector here???? os??? what sort of ambiguity is or isn't this relating to concerning "coadjoint partial flag variety" ????? ???os??? .... asf os....

??sa co-/adjoint partial flag kaehler variety ... ??sa langlands duality here???
??sa co-/root system as co-/adjoint weylotope degeneration .... ???os??? .... asf os...

(hmm, now i think that i may have made a silly verbal slip here; that "adjoint vs co-adjoint" doesn't particularly connect with "root vs co-root"...)


??sa possibility of other (??"even more" ?? os???) partial flags appearing as legendre submanifolds in co-adjoint partial flag kaehler variety ??? os??? .... asf os... ??does this actually happen anywhere besides the a-series?? ??more generally maybe we're dealing with sub-legendrian manifolds or something?? ??is that an interesting concept??

??is there anything interesting going on with schubert varieties and legendrian singularities here, or something like that??? not sure whether this idea actually makes any sense but for a moment i thought that it might...

??sa 3d rep of politically varyingly defined territory??...

??bit about "[2:51:13 AM] walter smith: a highest-weight co-adjoint orbit seems to have 2 reasons to "be a flag variety" in some sense..." os... asf os... ???sa idea that "_all_ partial flag varieties are coadjoint partial flag varieties" .... in a certain sense ... ???os???.... asf os...