Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle

Autores
Boyallian, Carina; Liberati, Jose Ignacio
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give a complete description of the anti-involutions of the algebra DN of N X N-matrix differential operators on the circle, preserving the principal ℤ gradation. We obtain, up to conjugation, two families σ±,m with 1≤m≤N, getting two families DN±,m simple Lie subalgebras fixed by -σ±,m. We also give a geometric realization of σ±.m, concluding that DN+,m is a subalgebra of DN of type o(m,n) and DN-,m is a subalgebra of DN of type o s p(m,n) (ortho-symplectic). Finally, we study the conformal algebras associated with DN+,m and DN-,m © 2001 American Institute of Physics.
Fil: Boyallian, Carina. 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
Fil: Liberati, Jose Ignacio. 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
Lie algebra
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:11336/129961
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/129961
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network_name_str CONICET Digital (CONICET)
spelling Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circleBoyallian, CarinaLiberati, Jose IgnacioLie algebrahttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give a complete description of the anti-involutions of the algebra DN of N X N-matrix differential operators on the circle, preserving the principal ℤ gradation. We obtain, up to conjugation, two families σ±,m with 1≤m≤N, getting two families DN±,m simple Lie subalgebras fixed by -σ±,m. We also give a geometric realization of σ±.m, concluding that DN+,m is a subalgebra of DN of type o(m,n) and DN-,m is a subalgebra of DN of type o s p(m,n) (ortho-symplectic). Finally, we study the conformal algebras associated with DN+,m and DN-,m © 2001 American Institute of Physics.Fil: Boyallian, Carina. 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; ArgentinaFil: Liberati, Jose Ignacio. 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; ArgentinaAmerican Institute of Physics2001-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/129961Boyallian, Carina; Liberati, Jose Ignacio; Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle; American Institute of Physics; Journal of Mathematical Physics; 42; 8; 8-2001; 3735-37530022-24881089-7658CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.1380252info:eu-repo/semantics/altIdentifier/doi/10.1063/1.1380252info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:37:28Zoai:ri.conicet.gov.ar:11336/129961instacron: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:34982025-09-29 10:37:28.356CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
title Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
spellingShingle Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
Boyallian, Carina
Lie algebra
title_short Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
title_full Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
title_fullStr Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
title_full_unstemmed Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
title_sort Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle
dc.creator.none.fl_str_mv Boyallian, Carina
Liberati, Jose Ignacio
author Boyallian, Carina
author_facet Boyallian, Carina
Liberati, Jose Ignacio
author_role author
author2 Liberati, Jose Ignacio
author2_role author
dc.subject.none.fl_str_mv Lie algebra
topic Lie algebra
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 give a complete description of the anti-involutions of the algebra DN of N X N-matrix differential operators on the circle, preserving the principal ℤ gradation. We obtain, up to conjugation, two families σ±,m with 1≤m≤N, getting two families DN±,m simple Lie subalgebras fixed by -σ±,m. We also give a geometric realization of σ±.m, concluding that DN+,m is a subalgebra of DN of type o(m,n) and DN-,m is a subalgebra of DN of type o s p(m,n) (ortho-symplectic). Finally, we study the conformal algebras associated with DN+,m and DN-,m © 2001 American Institute of Physics.
Fil: Boyallian, Carina. 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
Fil: Liberati, Jose Ignacio. 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 We give a complete description of the anti-involutions of the algebra DN of N X N-matrix differential operators on the circle, preserving the principal ℤ gradation. We obtain, up to conjugation, two families σ±,m with 1≤m≤N, getting two families DN±,m simple Lie subalgebras fixed by -σ±,m. We also give a geometric realization of σ±.m, concluding that DN+,m is a subalgebra of DN of type o(m,n) and DN-,m is a subalgebra of DN of type o s p(m,n) (ortho-symplectic). Finally, we study the conformal algebras associated with DN+,m and DN-,m © 2001 American Institute of Physics.
publishDate 2001
dc.date.none.fl_str_mv 2001-08
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/11336/129961
Boyallian, Carina; Liberati, Jose Ignacio; Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle; American Institute of Physics; Journal of Mathematical Physics; 42; 8; 8-2001; 3735-3753
0022-2488
1089-7658
CONICET Digital
CONICET
url http://hdl.handle.net/11336/129961
identifier_str_mv Boyallian, Carina; Liberati, Jose Ignacio; Classical Lie subalgebras of the Lie algebra of matrix differential operators on the circle; American Institute of Physics; Journal of Mathematical Physics; 42; 8; 8-2001; 3735-3753
0022-2488
1089-7658
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.1380252
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.1380252
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 American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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
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score 13.070432

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