Timeline for Centralizers of regular elements are abelian
Current License: CC BY-SA 4.0
6 events
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May 19, 2021 at 16:28 | history | edited | Alison Miller | CC BY-SA 4.0 |
Fixed broken links
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Nov 11, 2016 at 16:53 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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Nov 1, 2016 at 20:52 | comment | added | Jim Humphreys | @Francois: I've added a comment to your answer. Working over the complex field isn't significant for this kind of question, only the fact that the field is algebraically closed of characteristic 0. The examples mentioned are not very helpful. Also, the question here is algebraic and doesn't require analysis or differential geometry. (It's of course not necessary here to get into the more difficult problems in prime characteristic, but I wanted to emphasize that Steinberg's setting for regular elements is more natural.) | |
Oct 31, 2016 at 14:57 | comment | added | Francois Ziegler | Which "some" of the two other extant responses are out of focus? ;-) The OP works over $k=\mathbf C$ and spells out detailed definitions in agreement with current terminology for both centralizer ($Z_G(X)$, $X\in\mathfrak g$) and regular. | |
Oct 31, 2016 at 14:23 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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Oct 31, 2016 at 14:17 | history | answered | Jim Humphreys | CC BY-SA 3.0 |