Timeline for Dimension of maximal subgroups
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 24, 2017 at 16:51 | comment | added | YCor | To show the claim that generic $T$-orbits (in the variety $X$) have dimension $\dim(T)$: we can assume to work with the complex numbers and that $\dim(T)\ge 1$. For every 1-dimensional subtorus $K$ let $X_K$ the points fixed by $K$. This is a closed subset, distinct of $X$. Since there are only countably many $K$, $\bigcup_KX_K$ is distinct of $X$; hence there is a point with finite stabilizer. [In contrast the unipotent abelian 2-dimensional group can act faithfully with $\le 1$-dimensional orbits: $(u,v).(x,y)=(x+u+yv,y)$.] | |
| Mar 24, 2017 at 10:49 | history | undeleted | Friedrich Knop | ||
| Mar 24, 2017 at 10:46 | history | deleted | Friedrich Knop | via Vote | |
| Mar 24, 2017 at 10:45 | history | answered | Friedrich Knop | CC BY-SA 3.0 |