Principal spin-bundles and triality

In this paper we construct a family of spin Lie groups G with an outer automorphism of order three (triality automorphism) and we describe the subgroups of fixed points for this kind of automorphisms. We will take advantage of this work to study the action of the group of outer automorphisms of G on...

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Autores:
Sancho, Alvaro Antón
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66459
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66459
http://bdigital.unal.edu.co/67487/
Palabra clave:
51 Matemáticas / Mathematics
triality
Spin-principal bundles
moduli space
fixed points
stability
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_fdf8d72cc64461c3414857d59e103166
oai_identifier_str oai:repositorio.unal.edu.co:unal/66459
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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_abf2Sancho, Alvaro Antón7fb27ce7-20ab-49cf-9917-f721709426ee3002019-07-03T02:10:05Z2019-07-03T02:10:05Z2015-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66459http://bdigital.unal.edu.co/67487/In this paper we construct a family of spin Lie groups G with an outer automorphism of order three (triality automorphism) and we describe the subgroups of fixed points for this kind of automorphisms. We will take advantage of this work to study the action of the group of outer automorphisms of G on the moduli space of principal G-bundles and describe the subvariety of fixed points in M(G) for the action of the outer automorphism of order three of G. Finally, we further study the case of Spin(8, C).application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/60442Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasSancho, Alvaro Antón (2015) Principal spin-bundles and triality. Revista Colombiana de Matemáticas, 49 (2). pp. 235-259. ISSN 2357-410051 Matemáticas / MathematicstrialitySpin-principal bundlesmoduli spacefixed pointsstabilityPrincipal spin-bundles and trialityArtículo 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/ARTORIGINAL60442-307339-1-SM.pdfapplication/pdf442811https://repositorio.unal.edu.co/bitstream/unal/66459/1/60442-307339-1-SM.pdfcb9a0df3d382e1d5384b1e436823a02eMD51THUMBNAIL60442-307339-1-SM.pdf.jpg60442-307339-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4830https://repositorio.unal.edu.co/bitstream/unal/66459/2/60442-307339-1-SM.pdf.jpg3054e477b794fe6646190524a323d3c4MD52unal/66459oai:repositorio.unal.edu.co:unal/664592023-05-25 23:02:47.242Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Principal spin-bundles and triality
title Principal spin-bundles and triality
spellingShingle Principal spin-bundles and triality
51 Matemáticas / Mathematics
triality
Spin-principal bundles
moduli space
fixed points
stability
title_short Principal spin-bundles and triality
title_full Principal spin-bundles and triality
title_fullStr Principal spin-bundles and triality
title_full_unstemmed Principal spin-bundles and triality
title_sort Principal spin-bundles and triality
dc.creator.fl_str_mv Sancho, Alvaro Antón
dc.contributor.author.spa.fl_str_mv Sancho, Alvaro Antón
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
triality
Spin-principal bundles
moduli space
fixed points
stability
dc.subject.proposal.spa.fl_str_mv triality
Spin-principal bundles
moduli space
fixed points
stability
description In this paper we construct a family of spin Lie groups G with an outer automorphism of order three (triality automorphism) and we describe the subgroups of fixed points for this kind of automorphisms. We will take advantage of this work to study the action of the group of outer automorphisms of G on the moduli space of principal G-bundles and describe the subvariety of fixed points in M(G) for the action of the outer automorphism of order three of G. Finally, we further study the case of Spin(8, C).
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:10:05Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:10:05Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66459
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67487/
identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/66459
http://bdigital.unal.edu.co/67487/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/recolma/article/view/60442
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Sancho, Alvaro Antón (2015) Principal spin-bundles and triality. Revista Colombiana de Matemáticas, 49 (2). pp. 235-259. ISSN 2357-4100
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 Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66459/1/60442-307339-1-SM.pdf
https://repositorio.unal.edu.co/bitstream/unal/66459/2/60442-307339-1-SM.pdf.jpg
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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