Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators

Autores
Garcia, José Ignacio; Liberati, Jose Ignacio
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We classify the anti-involutions of the superalgebra of quantum pseudodifferential operators on the super circle preserving the principal gradation, producing in this way a family of Lie subalgebras minus fixed by these anti-involutions. We classify the irreducible quasifinite highest weight representations of the central extension of these Lie subalgebras.
Fil: Garcia, José Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Liberati, Jose Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
QUASIFINITE
LIE SUPERALGEBRA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/10981
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/10981
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network_name_str CONICET Digital (CONICET)
spelling Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operatorsGarcia, José IgnacioLiberati, Jose IgnacioQUASIFINITELIE SUPERALGEBRAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We classify the anti-involutions of the superalgebra of quantum pseudodifferential operators on the super circle preserving the principal gradation, producing in this way a family of Lie subalgebras minus fixed by these anti-involutions. We classify the irreducible quasifinite highest weight representations of the central extension of these Lie subalgebras.Fil: Garcia, José Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Liberati, Jose Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaHindawi Publishing Corporation2013-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10981Garcia, José Ignacio; Liberati, Jose Ignacio; Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators; Hindawi Publishing Corporation; ISRN Mathematical Physics; 2012; 7-2013; 1-13; 6728722090-4673enginfo:eu-repo/semantics/altIdentifier/url/http://www.hindawi.com/journals/isrn/2013/672872/info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1155/2013/672872info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:13:54Zoai:ri.conicet.gov.ar:11336/10981instacron: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:34982025-11-05 10:13:54.393CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
title Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
spellingShingle Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
Garcia, José Ignacio
QUASIFINITE
LIE SUPERALGEBRA
title_short Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
title_full Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
title_fullStr Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
title_full_unstemmed Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
title_sort Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators
dc.creator.none.fl_str_mv Garcia, José Ignacio
Liberati, Jose Ignacio
author Garcia, José Ignacio
author_facet Garcia, José Ignacio
Liberati, Jose Ignacio
author_role author
author2 Liberati, Jose Ignacio
author2_role author
dc.subject.none.fl_str_mv QUASIFINITE
LIE SUPERALGEBRA
topic QUASIFINITE
LIE SUPERALGEBRA
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We classify the anti-involutions of the superalgebra of quantum pseudodifferential operators on the super circle preserving the principal gradation, producing in this way a family of Lie subalgebras minus fixed by these anti-involutions. We classify the irreducible quasifinite highest weight representations of the central extension of these Lie subalgebras.
Fil: Garcia, José Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Liberati, Jose Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description We classify the anti-involutions of the superalgebra of quantum pseudodifferential operators on the super circle preserving the principal gradation, producing in this way a family of Lie subalgebras minus fixed by these anti-involutions. We classify the irreducible quasifinite highest weight representations of the central extension of these Lie subalgebras.
publishDate 2013
dc.date.none.fl_str_mv 2013-07
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/11336/10981
Garcia, José Ignacio; Liberati, Jose Ignacio; Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators; Hindawi Publishing Corporation; ISRN Mathematical Physics; 2012; 7-2013; 1-13; 672872
2090-4673
url http://hdl.handle.net/11336/10981
identifier_str_mv Garcia, José Ignacio; Liberati, Jose Ignacio; Quasifinite representations of classical subalgebras of the Lie superalgebra of quantum pseudo differential operators; Hindawi Publishing Corporation; ISRN Mathematical Physics; 2012; 7-2013; 1-13; 672872
2090-4673
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.hindawi.com/journals/isrn/2013/672872/
info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1155/2013/672872
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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_ 1847977688559517696
score 13.087074

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