?? try to refresh my understanding of classification of irreps of for example pgl(3,f_2) and / or gl(3,f_2) .... ??? partly in preparation for reading bump's stuff about gl(2,f_q) .... ???? ....

?? so ... ?? also thinking a bit here about "pgl(3,f_1)" aka 3! ... ?? whose irreps are classified by :

...

..
.

.
.
.


?? which also classify partial flag types here .... ???? ....

?? hmmm ..... ??? ....

point, line

point

line

-

?? 2 middle ones as equivalent in some sense ??? .... ??? ....

?? "categorified gram-schmidt" ... ???? .... ???? but .... ???? ..... ?? confused about how we're supposed to deal with the two "equivalent" ones here .... ???? ....

?? "combed vs uncombed young diagram" .... ???? .....

?? q=1 case .... ????? .... ?? as encouraging not worrying too much about this distinction ??? .... ??? stuff that's q-independent .... ???? .....

?? "class class" .... ???? .....

?? flag variety / conjugacy class .... ????? .....

?? "green type" .... ???? ....

?? "schur-weyl duality" .... ???? ..... ?? q-deformed .... ??? ....

------3---21--12--111
3 1 1 1 1
21 1 2 2 3
12 1 2 2 3
111 1 3 3 6

?? ....

?? parabolic induction and schur-weyl duality .... ????

?? young diagram as functorial operation .... "schur functor" ..... ???? ......

?? induced vs irrep here ..... ???? ....

?? applying schur functor to ..... ???? .....

?????? .......

?? "green substitution" .... ?? ...

?? "cuspidal rep" ... ???? what in world relationship if any to "cusp form" .... ???? .... ???? .... ???? ....

?? "applying a-box young diagram to b-box one to get [a*b]-box one ...." ??? .... ??? confusion about q-deformed case ... where q can / does enter .... ??? ...