Timeline for Split rank of inner forms
Current License: CC BY-SA 3.0
7 events
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Jan 31, 2018 at 20:55 | comment | added | Cheng-Chiang Tsai | Thanks! Now I see that there are some lack of knowledge of mine regarding $\ast$-action; I'll go read about it. | |
Jan 31, 2018 at 12:37 | comment | added | thierry stulemeijer | @Cheng-ChiangTsai and Loren (unfortunately, I can only ping one person per comment), thank you for your interest! I've added some explanations, I hope this makes the picture clearer. | |
Jan 31, 2018 at 9:45 | history | edited | thierry stulemeijer | CC BY-SA 3.0 |
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Jan 31, 2018 at 9:35 | history | edited | thierry stulemeijer | CC BY-SA 3.0 |
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Jan 31, 2018 at 2:36 | comment | added | LSpice | I guess that we can have a small industry of trying to understand one another's answers. :-) I don't understand "Hence $T/Z(G)$ cannot have more characters defined over $F$ than $T^*/Z(G^*)$." It seems to me that so far the discussion has been symmetric in $G$ and $G^*$ (not yet using quasi-splitness of $G^*$), and yet there is some asymmetry in this statement; what broke the symmetry (or, to put it differently, how does the statement I quoted use the quasi-splitness of $G^*$)? | |
Jan 31, 2018 at 1:48 | comment | added | Cheng-Chiang Tsai | In the second last paragraph, how do we get that rank in the adjoint group are the same iff it is the (unique) quasi-split inner form? | |
Jan 30, 2018 at 12:30 | history | answered | thierry stulemeijer | CC BY-SA 3.0 |