Representations of $asl_2$
| dc.creator | Morier-Genoud, Sophie | |
| dc.date | 2008-08-22 | |
| dc.date | 2008-09-20 | |
| dc.date.accessioned | 2026-07-07T10:03:50Z | |
| dc.date.available | 2026-07-07T10:03:50Z | |
| dc.description | We study representations of the simple Lie antialgebra $asl_2$ introduced by Ovsienko. We show that representations of $asl_2$ are closely related to the famous ghost Casimir element of the universal enveloping algebra $osp(1|2)$. We prove that $asl_2$ has no non-trivial finite-dimensional representations; we define and classify some particular infinite-dimensional representations that we call weighted representations. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/0808.2997 | |
| dc.identifier | http://arxiv.org/abs/0808.2997 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169441 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W55;17B10 | |
| dc.title | Representations of $asl_2$ | |
| dc.type | text |