Timeline for Which known theorems of Lie algebras are still valid for Leibniz algebras?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 18, 2019 at 16:37 | history | edited | YCor |
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| Oct 24, 2015 at 4:15 | vote | accept | Tadashi | ||
| Oct 23, 2015 at 16:36 | answer | added | David Towers | timeline score: 3 | |
| Dec 29, 2014 at 17:35 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Dec 29, 2014 at 16:43 | comment | added | YCor | Note that this nilpotency result is trivial for positive gradings ($\mathfrak{g}_n=0$ for all $n<0$ and all $n\ge n_0$), but the latter trivially holds for all algebras (module + bilinear law) while the former doesn't, with simple counterexamples. | |
| Dec 29, 2014 at 16:36 | comment | added | YCor | One example: if a Leibniz algebra (over any commutative ring) admit a grading in $\mathbf{Z}$ such that $\mathfrak{g}_n=0$ for all $|n|\ge n_0$ for some $n_0$ and $\mathfrak{g}_0=0$, then $\mathfrak{g}$ is nilpotent. (See my answer to mathoverflow.net/questions/90964/… ) | |
| Dec 29, 2014 at 3:53 | history | asked | Tadashi | CC BY-SA 3.0 |