Timeline for Why should we study derivations of algebras?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 12, 2018 at 12:35 | history | edited | Qfwfq | CC BY-SA 4.0 |
The articles
|
| Jul 12, 2018 at 8:22 | comment | added | spin | If the Killing form of a finite-dimensional Lie algebra $L$ is non-degenerate, then $L$ has zero center and all derivations of $L$ are inner (this works over any field). So if the Killing form is non-degenerate, then the Lie algebra of derivations of $L$ is isomorphic to $L$. Of course, this might be a bit unsatisfying since we rely on having constructed $L$ in the first place. | |
| Jul 12, 2018 at 7:42 | history | answered | user21230 | CC BY-SA 4.0 |