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Timeline for Split rank of inner forms

Current License: CC BY-SA 3.0

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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