?? "every rep is induced, just not all the way" ... ???? ....

?? "central character" vs "parameterization by characters" .... ???? ....

?? irrep parameterized by character of split maximal torus as induced ... ?? but is the inducement from that torus, or from something related but somewhat larger ?? .... ????? .......

?? unsplit maximal torus of real lie group ....... ????? .... ?? "cayley" (?? ...) representation of (c,*) on underlying real vsp of c ..... ????? .....

?? cayley representation of (f_q^n,*) on underlying f_q-vsp of f_[q^n] .... ????? .....

?? maximal torus as not central .... center of simple group as trivial ... ?? must be forgetting some key idea here ..... ????? .... ?? ok, one key idea is gp center vs ring center .... ???? ... but bump _is_ talking only about gp centers here, right ?? .... ???? .....

?? hmm, they make it sound like they're talking about gp centers, but it seems like they're secretly really talking about ring centers .... ???? .....

?? center of eneveloping algebra / gp algebra .... ??? vs .... ??? of quotient thereof ... ?? associated with rep ??? .... ???? .... ?? or of just plain assoc alg .... ??? .... ???? ..... ??? ....