Timeline for A particular embedding of a Lie group in Euclidean space
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 20, 2018 at 12:02 | comment | added | LSpice | @AliTaghavi, sorry; I missed the word 'isometric'. | |
| Feb 20, 2018 at 7:53 | comment | added | Ali Taghavi | @LSpice but it is not an isometry since the metric of $GL(n,R)$ is not the Euclidean metric. | |
| Feb 20, 2018 at 2:49 | comment | added | LSpice | @AliTaghavi, $\mathrm{GL}(n, \mathbb R) \to \mathfrak{gl}(n, \mathbb R)$ does it; its derivative is the identity map. | |
| Feb 19, 2018 at 8:11 | comment | added | Ali Taghavi | Is there an isometric embedding of $GL(n,\mathbb{R})$ into some $M^{k\times k}$ whose derivative preserves the Lie algebra structure? | |
| Feb 17, 2018 at 22:56 | comment | added | Ali Taghavi | Thanks for your answer. yes but it is not an isometric embedding. | |
| Feb 17, 2018 at 22:53 | history | answered | Igor Rivin | CC BY-SA 3.0 |