Sunday, April 29, 2012

?? gl(2,f_2) ... ??? ....

?? split maximal torus ??? .....

?? hmm, unsplit maximal torus here as maybe anomalous ??? .... ?? because quadratic extension of f_2 as anomalous ..... ???? .....

?? but is there something funny about split maximal torus here as well ?? ... ??? ....

?? cuspidal vs non-cuspidal here .... ????? .....

?? trivial rep and 2d irrep as non-cuspidal here ... other 1d rep as cuspidal ...

?? making it seem like split maximal torus here should be z/2 or something .... ??? ....

?? bit todd pointed out about .... ?? bn-pair "n" here (?? ... ??? 2 vs 3 ??? ....) as not precisely normalizer of ..... ???? ..... ????? .....

?? actual maximal abelian subgps of 3! ... ?? z/2 and z/3 ..... ????? ..... ?? z/3 as unsplit maximal torus, maybe ??? .... ?? relationship to other 1d rep ..... ?????? ........

?? z/2 as "point" stabilizer here ???? ... ?? abelian parabolic .... ???? .....

?? maybe lots of anaomalies here ... unclear how related to each other ... ?? try looking at gl(2,f_3) instead ... ??? ....

?? some anomalies which might become less anomalous on "passing to algebraic closure" / "treating as algebraic group" .... ??? .....

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