Timeline for Lie subalgebra annihilated by all derivations
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 29 at 5:42 | vote | accept | Qwert Otto | ||
| Nov 29 at 3:11 | comment | added | Kenta Suzuki | @LSpice yes that was a typo, my bad! | |
| Nov 29 at 3:01 | comment | added | LSpice | @KentaSuzuki, outer $\to$ inner in your first comment, right? | |
| Nov 28 at 16:54 | answer | added | Salvatore Siciliano | timeline score: 7 | |
| Nov 27 at 18:27 | comment | added | Kenta Suzuki | Also: Togo's 1966 paper Outer derivations of Lie algebras may be relevant. | |
| Nov 27 at 18:23 | comment | added | Kenta Suzuki | Some observations: by considering outer derivations we know $K(\mathfrak g)\subset\mathfrak z(\mathfrak g)$, the center of $\mathfrak g$. So let's assume $\mathfrak z(\mathfrak g)\ne0$. Then any linear homomorphism $\mathfrak g\to \mathfrak z(\mathfrak g)$ which is zero on the commutator $[\mathfrak g,\mathfrak g]$ is a derivation, so $K(\mathfrak g)\subset [\mathfrak g,\mathfrak g]$ as well. | |
| Nov 27 at 16:22 | history | asked | Qwert Otto | CC BY-SA 4.0 |