Bilinear forms on $\mathfrak{sl}_2$-modules and a hypergeometric identity

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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.
Changed claims of new identity to references of known identity. Added reference to book by Klimyk and Vilenkin

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Representation Theory, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/123777

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702137
 http://arxiv.org/abs/math/0702137

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arXiv