Timeline for Ternary "Lie structure"
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2012 at 9:54 | comment | added | José Figueroa-O'Farrill | You might be interested in my answer to a previous MO question concerning n-Lie algebras: mathoverflow.net/questions/49437/… | |
| May 10, 2012 at 20:08 | vote | accept | Denis Serre | ||
| May 10, 2012 at 19:43 | answer | added | Pandamic | timeline score: 3 | |
| May 10, 2012 at 19:40 | comment | added | Fernando Muro | If you remove $bca-acb$ (that is, the only two terms with $c$ in the middle) then you get a Lie triple system jstor.org/discover/10.2307/… en.wikipedia.org/wiki/Triple_system#Lie_triple_systems | |
| May 10, 2012 at 18:21 | comment | added | Mariano Suárez-Álvarez | (Ginzburg and Berger have studied a family of algebras, called antisymmetrizer algebras. The thirds one is the quotient of the free algebra on three generators $a$, $b$, $c$ modulo what you write as $[abc]_3$; the algebra is encodes then properties of triads of elements which "ternary-Lie-commute". The algebra is $3$-Koszul in the sense of Berger, so quite special: maybe you can extract information from that fact) | |
| May 10, 2012 at 17:44 | answer | added | Jim Conant | timeline score: 6 | |
| May 10, 2012 at 17:02 | answer | added | F. C. | timeline score: 5 | |
| May 10, 2012 at 17:00 | answer | added | Gjergji Zaimi | timeline score: 16 | |
| May 10, 2012 at 16:50 | comment | added | Jim Conant | Have you checked if these are $L_\infty$ structures? | |
| May 10, 2012 at 16:21 | history | asked | Denis Serre | CC BY-SA 3.0 |