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

Johan Kåhrström

paper

Bilinear forms on $sl_{2}$ -modules and a hypergeometric identity

arXiv:math/0702137

Abstract

In this paper we study properties of a certain bilinear form on finite dimensional $sl_{2} (R)$ -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 $_{3} F_{2}$ , 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

Bilinear forms on sl2​-modules and a hypergeometric identity

Abstract

Bilinear forms on $sl_{2}$ -modules and a hypergeometric identity