8 Lectures on quantum groups and q-special functions
| dc.creator | Koelink, Erik | |
| dc.date | 1996-08-22 | |
| dc.date.accessioned | 2026-07-07T09:17:14Z | |
| dc.date.available | 2026-07-07T09:17:14Z | |
| dc.description | Lecture notes for an eight hour course on quantum groups and $q$-special functions at the fourth Summer School in Differential Equations and Related Areas, Universidad Nacional de Colombia and Universidad de los Andes, Bogotá, Colombia, July 22 -- August 2, 1996. The lecture notes contain an introduction to quantum groups, $q$-special functions and their interplay. After generalities on Hopf algebras, orthogonal polynomials and basic hypergeometric series we work out the relation between the quantum SU(2) group and the Askey-Wilson polynomials out in detail as the main example. As an application we derive an addition formula for a two-parameter subfamily of Askey-Wilson polynomials. A relation between the Al-Salam and Chihara polynomials and the quantised universal enveloping algebra for $su(1,1)$ is given. Finally, more examples and other approaches as well as some open problems are given. | |
| dc.description | AMS-TeX, 82 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9608018 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9608018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153594 | |
| dc.subject | Quantum Algebra | |
| dc.title | 8 Lectures on quantum groups and q-special functions | |
| dc.type | text |