??so should we be thinking of an irrep of a simple lie algebra as the zariski tangent space of some sort of singularity?? or something like that?? with the codimension of the tangent cone in the zariski tangent space being something like the "inner" part of the irrep?? and what about something about bott's part of borel-bott-weil here?? is there some idea here about higher cohomology groups and "obstructions" carving out the tangent cone from the zariski tangent space?? of course we've made limited progress in understanding such ideas before, but i don't remember trying to connect it with borel-bott-weil in this way...

hmm, are the "inner coordinates" of a partial flag "redundant"?? ??because existentially quantified over, though perhaps actually unique as well??