??so maybe we should identify the "line" grassmanian inside the projective space of the 14-dimensional irrep of g2 with certain 1-parameter automorphism groups of the octonions canonically associated with the "lines"... perhaps this is obvious from a certain point of view, but it seems good to try to state it explicitly here... because of the way that it meshes with our recent interest in thinking about partial flags more concretely, in terms of somewhat visible 1d subspaces of an irrep... especially the "extremal weight spaces" visibly corresponding to the partial flags in the favorite apartment...

??does it make sense to think of the 14d irrep as consisting of "anti-symmetric matrixes" acting on the split octonions as derivations preserving the relevant inner product?? or something like that??

??hmm, are we suggesting here that the "line" grassmanian has some sort of quandle structure?? or something like that?? this doesn't seem to be the "hermitian symmetric space" case, but... ??maybe it's related to that case in some vague way... ??....

well, of _course_ there's a quandle structure here in some sense, what with the relationship between partial flag varieties and conjugacy classes... but do we really understand what's going on here??...