Timeline for centralisers of maximal split tori
Current License: CC BY-SA 3.0
6 events
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| Dec 4, 2013 at 13:52 | comment | added | Jim Humphreys | @Eupert: Yes, the "absolute" theory pointed out by user76758 is clear, and applies to rational points over $k$ (here all semisimple, with classes of dim $>0$ unless central). But notation gets confusing at times (different uses of $H$ for instance). | |
| Dec 4, 2013 at 12:33 | comment | added | user76758 | @Rupert: For any connected reductive group $H$ (such as $Z_G(S)$) and any $h \in \mathscr{D}(H)$, we know its conjugacy class in $H$ is the same as its conjugacy class in $\mathscr{D}(H)$. In what sense is your question is not an instance of that? | |
| Dec 4, 2013 at 10:03 | comment | added | Rupert | Thanks. Could I ask something a bit different. Let's say I had an element h in the semisimple anisotropic kernel such that its conjugacy class in the semisimple anistropic kernel is of positive dimension. Can I say that this conjugacy class is equal to the conjugacy class of $h$ in $Z_{G}(S)$? | |
| Dec 4, 2013 at 8:42 | vote | accept | Rupert | ||
| Dec 3, 2013 at 23:32 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
added 974 characters in body
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| Dec 3, 2013 at 16:38 | history | answered | Jim Humphreys | CC BY-SA 3.0 |