Timeline for Centralizers in semisimple Lie group
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| yesterday | vote | accept | yolassr | ||
| Dec 9 at 17:11 | comment | added | LSpice | @yolassr, re, I don't think so. Strong regularity is sensitive to isogeny; the element $\operatorname{diag}(i, -i)$ of $\operatorname{SL}_2$ is strongly regular semisimple, but its image in $\operatorname{PGL}_2$ is not. More generally, every lift to $G_\text{sc}$ of an rss element $\gamma$ of $G$ is srss. On the other hand, as far as I can tell, hyperregularity of an element $\gamma$ depends only on the action on $\bigwedge\operatorname{Lie}(G)$, hence only on the image of $\gamma$ in $G/{\operatorname Z(G)}$. | |
| Dec 9 at 12:06 | comment | added | yolassr | Thanks! I wonder whether this is related to the notion of hyperregularity in this paper jstor.org/stable/1970790 | |
| Dec 8 at 19:55 | history | edited | LSpice | CC BY-SA 4.0 |
Redundant assumption of rss
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| Dec 8 at 19:29 | history | edited | LSpice | CC BY-SA 4.0 |
Centraliser where?
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| Dec 8 at 19:24 | history | answered | LSpice | CC BY-SA 4.0 |