?? nice way for t-orbit in g/b to get kaleidoscope symmetry ... ??

?? kaleidoscope group = normalizer(b)/b .... ????? = automorphisms of g/b as g-space ???? ....

?? seems a bit screwed up ....

?? normalizer_g(h)/h as automorphisms of g/h as h-space, or equivalently as invertible h,h double cosets ??? .....

?? invertible apartment-apartment orientations ??? .... ?? = arbitrary flag-flag orientations ... ???? .....

?? straightening out toric varieties given by ... ??? various flag-flag orientations degenerately (??...) re-construed as flag-flag-flag ... ??? ..... ?? still some confusion here, but ... ???? ...

?? so normalizer(t)/t ... ??? ...

?? action by normalizer(t) on toric variety .... ????? ..... ????? .... ???? ....