Timeline for Can a maximal rank subgroup of a simply connected Lie group have simply connected factors?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 27 at 7:28 | comment | added | YCor | If $G$ is allowed to be non-semisimple, you should say what you mean by "rank". | |
| Jun 27 at 3:36 | comment | added | Robert Bryant | Oh, also, note that $\mathrm{Sp}(n)$ contains $\mathrm{Sp}(1)\times\cdots\times\mathrm{Sp}(1)$ ($n$ times) as a maximal rank subgroup (of rank $n$), and $\mathrm{Sp}(m)$ is simply-connected for all $m$. | |
| Jun 26 at 22:28 | comment | added | Robert Bryant | Are you assuming that $n>1$? After all, $\mathrm{Spin}(7)$ contains $\mathrm{Spin}(6)$ as a maximal rank subgroup and $\mathrm{G}_2$ contains $\mathrm{SU}(3)$ as a maximal rank subgroup, and all of these groups are simply-connected. Also, $\mathrm{Spin}(5)$ contains $\mathrm{SU}(2)\times\mathrm{SU}(2)$. | |
| Jun 26 at 20:21 | history | edited | LSpice | CC BY-SA 4.0 |
Name of reference
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| S Jun 26 at 20:14 | review | First questions | |||
| Jun 26 at 23:59 | |||||
| S Jun 26 at 20:14 | history | asked | Eduardo Garcia | CC BY-SA 4.0 |