Timeline for 3/4-Lie superalgebras: how much of a theory can one develop?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2009 at 16:29 | comment | added | Greg Kuperberg | We both tend to agree that a 3/4 Lie algebra doesn't look like it can support more than a 3/4 representation; the odd action is then just an invariant tensor. That said, it's a little glib as an answer from me, because I didn't look very hard for more structure. I think I was more successful with your other question. | |
| Dec 3, 2009 at 15:35 | vote | accept | José Figueroa-O'Farrill | ||
| Dec 3, 2009 at 15:35 | comment | added | José Figueroa-O'Farrill | I'm accepting this answer. It's not perhaps the answer I wanted to hear, but I tend to agree that perhaps one cannot say much more. | |
| Dec 2, 2009 at 10:47 | comment | added | José Figueroa-O'Farrill | Indeed, by "theory" I meant the representation theory of such objects, since the structure theory is, at least in the semisimple case, a straightfoward consequence of the definition, which is not the say that the semisimple case is the only interesting case. Arguably the most interesting Lie superalgebras in Physics are not the semisimple ones. As for these "3/4" Lie superalgebras, Einstein manifolds (of the right signature) admitting real Killing spinors provide examples. | |
| Nov 6, 2009 at 6:48 | history | answered | Greg Kuperberg | CC BY-SA 2.5 |