??something about long root subalgebra of g2.. as a2 ... with so(3) living inside as "antisymmetric" part, as usual for a2 ... ???something about intersecting quincunx parabolic in 1 dimension, thus suggesting that this is the so(3) corresponding to "rotating the whole rolling ball system in its ambient euclidean space" (or something ...) ... ??aka "diagonal so(3)"; see below...???...
??how _does_ this relate to [relationship between incidence geometry of g2 and that of its long root a2 ?? ... and so forth ...] ?? ...
bor and montgomery ... so(3) X so(3) ... "morphism of pointed homogeneous spaces" or something, and so forth ... ???what _about_ something about ... ???how did it go ??? ... ??something about "beck-chevalley" and so forth here?? ... ???something about induced representations and so forth ... ????or something ????? ....
something about "diagonal so(3)" ... ... both balls rotating together... ??or perhaps "exactly opposite" or something ... ???then also "modified / generalized diagonal" preserving favorite geodesic ... ???something about "macroscopic vs microscopic approach to incidence geometry ... ???in maximal compact picture, or something ???? ....
???something about... ???when maximal compact subgroup of split real form (or something ...) corresponds to "antisymmetric part of whole thing" ?? .... and so forth ... ???....
????hmmm, so what _about_ possibility of general idea of "looking at incidence geometry in maximal compact picture", as here (...) ???? .... ???... ????relationship to what i'd actually wanted to talk about today, about "extent to which incidence geometry survives in arbitrary real form" ??? ... ???and so forth??? ...) ... ???...
???something about "one freeze-frame away" schubert variety for g2 ... ??something about "cubic cone" ... ???over genus zero projective curve ... ???something about the line bundle of the projective embedding here... ???something about riemann-roch and so forth ... numerological approach ... ??.. and so forth ... ???....
so what about "maximal compact picture" approach to "2d schubert variety for 2-dot dynkin diagram, and projective tangent cone of its basepoint singularity ..." and so forth ??? ... ???in general, and also in g2 particular case??? .... ???....
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