so there's certain bunches of 6 1d subspaces of the 7d irrep of g2 that seem significant... what's the relationship between these?? ??what about "highest weight vector" and "change of which chamber counts as highest..." ?? or something...

also have we got a nice way of thinking of a g2 flag as some sort of "folded ordinary flag on an 8d vsp" ?? ...and so forth... ??....