so what about the relationship between the "schubert-galois correspondence" and the partial order on the negative roots coming from the positive roots? ... ?? ...

??well, so what about invariant distributions on the apartment (or the framed apartment) variety, and the integrable such, and so forth? hmmm...

there's a continuous family of apartment-apartment orientations (for example consider gl(2) and "cross-ratio"...), but only a finite set of invariant distributions here... so it may be interesting to see what happens to the zariski tangent space process here...

hmm, so what seems to be going on here is this: ...??...

hmm, i seem to have left that hanging for a while... i give somewhat of an update here.