Eight lectures on quantum groups and q-special functions
The lectures contain an introduction to quantum groups, q-special functions and their interplay. After generalities on Hopf algebras, ortogonal 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 m...
- Autores:
-
Koelink, Erik
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1996
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43653
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43653
http://bdigital.unal.edu.co/33751/
- Palabra clave:
- Quantum groups
special functions
Hopf algebras
Askey-Wilson polynomials
addition formula
convolution
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The lectures contain an introduction to quantum groups, q-special functions and their interplay. After generalities on Hopf algebras, ortogonal 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 AISalam and Chihara polynomials and the quantised universal enveloping algebra for sυ(1, 1) is given. Finally, more examples and other approaches as well as some open problems are given. |
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