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May 19, 2021 at 16:28 history edited Alison Miller CC BY-SA 4.0
Fixed broken links
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