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...

Full description

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
id UNACIONAL2_75d74b9261ebab682abbd17d7b9c2d89
oai_identifier_str oai:repositorio.unal.edu.co:unal/43653
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Koelink, Erik27b5a779-3260-4969-a646-516e98e261e43002019-06-28T12:15:47Z2019-06-28T12:15:47Z1996https://repositorio.unal.edu.co/handle/unal/43653http://bdigital.unal.edu.co/33751/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.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33650Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 30, núm. 2 (1996); 93-180 0034-7426Koelink, Erik (1996) Eight lectures on quantum groups and q-special functions. Revista Colombiana de Matemáticas; Vol. 30, núm. 2 (1996); 93-180 0034-7426 .Eight lectures on quantum groups and q-special functionsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTQuantum groupsspecial functionsHopf algebrasAskey-Wilson polynomialsaddition formulaconvolutionORIGINAL33650-125162-1-PB.pdfapplication/pdf35742748https://repositorio.unal.edu.co/bitstream/unal/43653/1/33650-125162-1-PB.pdf529091d8650879a13481659358b52e39MD51THUMBNAIL33650-125162-1-PB.pdf.jpg33650-125162-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7135https://repositorio.unal.edu.co/bitstream/unal/43653/2/33650-125162-1-PB.pdf.jpg162a8c0820817d897d240b4500f8a030MD52unal/43653oai:repositorio.unal.edu.co:unal/436532024-02-11 23:18:45.305Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Eight lectures on quantum groups and q-special functions
title Eight lectures on quantum groups and q-special functions
spellingShingle Eight lectures on quantum groups and q-special functions
Quantum groups
special functions
Hopf algebras
Askey-Wilson polynomials
addition formula
convolution
title_short Eight lectures on quantum groups and q-special functions
title_full Eight lectures on quantum groups and q-special functions
title_fullStr Eight lectures on quantum groups and q-special functions
title_full_unstemmed Eight lectures on quantum groups and q-special functions
title_sort Eight lectures on quantum groups and q-special functions
dc.creator.fl_str_mv Koelink, Erik
dc.contributor.author.spa.fl_str_mv Koelink, Erik
dc.subject.proposal.spa.fl_str_mv Quantum groups
special functions
Hopf algebras
Askey-Wilson polynomials
addition formula
convolution
topic Quantum groups
special functions
Hopf algebras
Askey-Wilson polynomials
addition formula
convolution
description 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.
publishDate 1996
dc.date.issued.spa.fl_str_mv 1996
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:15:47Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:15:47Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
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dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43653
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33751/
url https://repositorio.unal.edu.co/handle/unal/43653
http://bdigital.unal.edu.co/33751/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33650
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 30, núm. 2 (1996); 93-180 0034-7426
dc.relation.references.spa.fl_str_mv Koelink, Erik (1996) Eight lectures on quantum groups and q-special functions. Revista Colombiana de Matemáticas; Vol. 30, núm. 2 (1996); 93-180 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43653/1/33650-125162-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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