A quantum version of the algebra of distributions of SL2

Autores
Angiono, Iván Ezequiel
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let λ be a primitive root of unity of order l. We introduce a family of finite-dimensional algebras {DλN (sl2)}NεN0 over the complex numbers, such that DλN (sl2) is a subalgebra of DλM (sl2) if N < M, and DλN-1(sl2) ⊂ DλN (sl2) is a uλ(sl2)-cleft extension. The simple DλN (sl2)-modules (LN(p))0≤p
Fil: Angiono, Iván Ezequiel. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
ALGEBRAS OF DISTRIBUTIONS
FROBENIUS-LUSZTIG KERNELS
POINTED HOPF ALGEBRAS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/88441
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/88441
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A quantum version of the algebra of distributions of SL2Angiono, Iván EzequielALGEBRAS OF DISTRIBUTIONSFROBENIUS-LUSZTIG KERNELSPOINTED HOPF ALGEBRAShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let λ be a primitive root of unity of order l. We introduce a family of finite-dimensional algebras {DλN (sl2)}NεN0 over the complex numbers, such that DλN (sl2) is a subalgebra of DλM (sl2) if N < M, and DλN-1(sl2) ⊂ DλN (sl2) is a uλ(sl2)-cleft extension. The simple DλN (sl2)-modules (LN(p))0≤pFil: Angiono, Iván Ezequiel. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaKyoto Univeristy2018-01-17info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88441Angiono, Iván Ezequiel; A quantum version of the algebra of distributions of SL2; Kyoto Univeristy; Publications Of The Research Institute For Mathematical Sciences; 54; 1; 17-1-2018; 141-1610034-53181663-4926CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4171/PRIMS/54-1-5info:eu-repo/semantics/altIdentifier/url/https://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=54&iss=1&rank=5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T12:10:57Zoai:ri.conicet.gov.ar:11336/88441instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-29 12:10:57.587CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A quantum version of the algebra of distributions of SL2
title A quantum version of the algebra of distributions of SL2
spellingShingle A quantum version of the algebra of distributions of SL2
Angiono, Iván Ezequiel
ALGEBRAS OF DISTRIBUTIONS
FROBENIUS-LUSZTIG KERNELS
POINTED HOPF ALGEBRAS
title_short A quantum version of the algebra of distributions of SL2
title_full A quantum version of the algebra of distributions of SL2
title_fullStr A quantum version of the algebra of distributions of SL2
title_full_unstemmed A quantum version of the algebra of distributions of SL2
title_sort A quantum version of the algebra of distributions of SL2
dc.creator.none.fl_str_mv Angiono, Iván Ezequiel
author Angiono, Iván Ezequiel
author_facet Angiono, Iván Ezequiel
author_role author
dc.subject.none.fl_str_mv ALGEBRAS OF DISTRIBUTIONS
FROBENIUS-LUSZTIG KERNELS
POINTED HOPF ALGEBRAS
topic ALGEBRAS OF DISTRIBUTIONS
FROBENIUS-LUSZTIG KERNELS
POINTED HOPF ALGEBRAS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let λ be a primitive root of unity of order l. We introduce a family of finite-dimensional algebras {DλN (sl2)}NεN0 over the complex numbers, such that DλN (sl2) is a subalgebra of DλM (sl2) if N < M, and DλN-1(sl2) ⊂ DλN (sl2) is a uλ(sl2)-cleft extension. The simple DλN (sl2)-modules (LN(p))0≤p
Fil: Angiono, Iván Ezequiel. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description Let λ be a primitive root of unity of order l. We introduce a family of finite-dimensional algebras {DλN (sl2)}NεN0 over the complex numbers, such that DλN (sl2) is a subalgebra of DλM (sl2) if N < M, and DλN-1(sl2) ⊂ DλN (sl2) is a uλ(sl2)-cleft extension. The simple DλN (sl2)-modules (LN(p))0≤p
publishDate 2018
dc.date.none.fl_str_mv 2018-01-17
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/88441
Angiono, Iván Ezequiel; A quantum version of the algebra of distributions of SL2; Kyoto Univeristy; Publications Of The Research Institute For Mathematical Sciences; 54; 1; 17-1-2018; 141-161
0034-5318
1663-4926
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88441
identifier_str_mv Angiono, Iván Ezequiel; A quantum version of the algebra of distributions of SL2; Kyoto Univeristy; Publications Of The Research Institute For Mathematical Sciences; 54; 1; 17-1-2018; 141-161
0034-5318
1663-4926
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4171/PRIMS/54-1-5
info:eu-repo/semantics/altIdentifier/url/https://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=54&iss=1&rank=5
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Kyoto Univeristy
publisher.none.fl_str_mv Kyoto Univeristy
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1847426943356502016
score 13.10058

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