Timeline for Moving frames method for non-matrix Lie group
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 29, 2023 at 5:44 | comment | added | Mr. Feynman | I'm not quite sure yet. Although my objection sounds reasonable, many authors include $dg$. If we didn't all we'd be left with would be the left translation, which for matrices would mean only $g^{-1}$ instead of $g^{-1}dg$. This PSE question maybe explains it better than I did. | |
| May 29, 2023 at 2:21 | comment | added | Deane Yang | @Mr.Feynman, many thanks! I think you're right about this. | |
| May 28, 2023 at 6:34 | comment | added | Mr. Feynman | Dear Prof. Yang, I hope you will accept my apologies for commenting a 4-years old post. There is one point in your answer (and elsewhere discussing this) which is not clear to me. Since $dg$ is just the identity map, why do we bother to compose $dL_{g^{-1}}(g)$ with it? I can't see any difference from defining $\omega=dL_{g^{-1}}(g)$ and in fact we have $\omega(v)=dL_{g^{-1}}(g)(v)$ in either case. Could you please clarify that point? | |
| Aug 2, 2019 at 15:31 | history | answered | Deane Yang | CC BY-SA 4.0 |