Bilinear forms on $\mathfrak{sl}_2$-modules and a hypergeometric identity
| dc.creator | Kåhrström, Johan | |
| dc.date | 2007-02-06 | |
| dc.date | 2007-02-13 | |
| dc.date.accessioned | 2026-07-07T07:46:17Z | |
| dc.date.available | 2026-07-07T07:46:17Z | |
| dc.description | In this paper we study properties of a certain bilinear form on finite dimensional $\mathfrak{sl}_2(\mathbb{R})$-modules, and how these properties behave with respect to tensor products of modules. An attempt to determine the signature of this form leads to an interesting identity for the hypergeometric series ${}_3F_2$, which is known as the Karlsson-Minton identity. | |
| dc.description | Changed claims of new identity to references of known identity. Added reference to book by Klimyk and Vilenkin | |
| dc.identifier | https://arxiv.org/abs/math/0702137 | |
| dc.identifier | http://arxiv.org/abs/math/0702137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123777 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.title | Bilinear forms on $\mathfrak{sl}_2$-modules and a hypergeometric identity | |
| dc.type | text |