English

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

Representation Theory 2007-05-23 v2 Combinatorics

Abstract

In this paper we study properties of a certain bilinear form on finite dimensional sl2(R)\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 3F2{}_3F_2, which is known as the Karlsson-Minton identity.

Keywords

Cite

@article{arxiv.math/0702137,
  title  = {Bilinear forms on $\mathfrak{sl}_2$-modules and a hypergeometric identity},
  author = {Johan Kåhrström},
  journal= {arXiv preprint arXiv:math/0702137},
  year   = {2007}
}

Comments

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