??? "galois-equivariant parabolic induction" ??? ... ??? to what extent does this make sense, and to what extent does it realize vague idea that i was trying to get at with "split, parabolically induct, de-split" ?? .... ??? ....

?? "de-split" by taking galois-invariant part ... ??? ... ???? .....

?? real/complex case .... ??? .... "cusp ..." .... ???? .... ???? .....

?? "cohomological induction" ... ??? .....