Timeline for Is a Lie subgroup whose center is closed, a closed subgroup itself?
Current License: CC BY-SA 4.0
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Jan 27, 2023 at 17:13 | history | edited | LSpice | CC BY-SA 4.0 |
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Jan 27, 2023 at 16:15 | comment | added | YCor | @BenMcKay no, it's false. If $S$ is semisimple with infinite center, it can be made dense in a larger connected Lie group (namely, fix a dense embedding $f$ of $Z(S)$ into the circle $C$ and mod out $S\times C$ by the graph of $f$). | |
Jan 27, 2023 at 15:27 | vote | accept | Pablo Lessa | ||
Jan 27, 2023 at 15:23 | comment | added | Ben McKay | I think that the paper of Goto mentioned in the question proves that semisimple connected immersed Lie subgroups are closed. | |
Jan 27, 2023 at 15:16 | history | answered | YCor | CC BY-SA 4.0 |