Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core

Autores
Chernousov, V.; Neher, E.; Pianzola, Arturo
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is “of type A”, i.e., ℓ×ℓ-matrices over a quantum torus Q whose trace lies in the commutator space of Q. This settles the last outstanding part of the conjugacy problem for Extended Affine Lie Algebras that remained open.
Fil: Chernousov, V.. University of Alberta; Canadá
Fil: Neher, E.. University of Ottawa; Canadá
Fil: Pianzola, Arturo. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. University of Alberta; Canadá
Materia
Cartan Subalgebras
Extended Affine Lie Algebras
Lie Torus
Quantum Torus
Special Linear 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:11336/72530
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/72530
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless coreChernousov, V.Neher, E.Pianzola, ArturoCartan SubalgebrasExtended Affine Lie AlgebrasLie TorusQuantum TorusSpecial Linear Lie Algebrahttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is “of type A”, i.e., ℓ×ℓ-matrices over a quantum torus Q whose trace lies in the commutator space of Q. This settles the last outstanding part of the conjugacy problem for Extended Affine Lie Algebras that remained open.Fil: Chernousov, V.. University of Alberta; CanadáFil: Neher, E.. University of Ottawa; CanadáFil: Pianzola, Arturo. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. University of Alberta; CanadáAmerican Mathematical Society2017-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/72530Chernousov, V.; Neher, E.; Pianzola, Arturo; Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core; American Mathematical Society; Transactions of the Moscow Mathematical Society; 78; 2; 12-2017; 235-2560077-15541547-738XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.ams.org/mosc/2017-78-00/S0077-1554-2017-00271-1/info:eu-repo/semantics/altIdentifier/doi/10.1090/mosc/271info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:33:22Zoai:ri.conicet.gov.ar:11336/72530instacron: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:34982025-11-12 09:33:22.818CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
title Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
spellingShingle Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
Chernousov, V.
Cartan Subalgebras
Extended Affine Lie Algebras
Lie Torus
Quantum Torus
Special Linear Lie Algebra
title_short Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
title_full Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
title_fullStr Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
title_full_unstemmed Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
title_sort Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
dc.creator.none.fl_str_mv Chernousov, V.
Neher, E.
Pianzola, Arturo
author Chernousov, V.
author_facet Chernousov, V.
Neher, E.
Pianzola, Arturo
author_role author
author2 Neher, E.
Pianzola, Arturo
author2_role author
author
dc.subject.none.fl_str_mv Cartan Subalgebras
Extended Affine Lie Algebras
Lie Torus
Quantum Torus
Special Linear Lie Algebra
topic Cartan Subalgebras
Extended Affine Lie Algebras
Lie Torus
Quantum Torus
Special Linear 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 establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is “of type A”, i.e., ℓ×ℓ-matrices over a quantum torus Q whose trace lies in the commutator space of Q. This settles the last outstanding part of the conjugacy problem for Extended Affine Lie Algebras that remained open.
Fil: Chernousov, V.. University of Alberta; Canadá
Fil: Neher, E.. University of Ottawa; Canadá
Fil: Pianzola, Arturo. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. University of Alberta; Canadá
description We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is “of type A”, i.e., ℓ×ℓ-matrices over a quantum torus Q whose trace lies in the commutator space of Q. This settles the last outstanding part of the conjugacy problem for Extended Affine Lie Algebras that remained open.
publishDate 2017
dc.date.none.fl_str_mv 2017-12
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/11336/72530
Chernousov, V.; Neher, E.; Pianzola, Arturo; Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core; American Mathematical Society; Transactions of the Moscow Mathematical Society; 78; 2; 12-2017; 235-256
0077-1554
1547-738X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/72530
identifier_str_mv Chernousov, V.; Neher, E.; Pianzola, Arturo; Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core; American Mathematical Society; Transactions of the Moscow Mathematical Society; 78; 2; 12-2017; 235-256
0077-1554
1547-738X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/mosc/2017-78-00/S0077-1554-2017-00271-1/
info:eu-repo/semantics/altIdentifier/doi/10.1090/mosc/271
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 Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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_ 1848597049923076096
score 12.976206

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