Invariant bilinear forms of algebras given by faithfully flat descent

Autores
Neher, Erhard; Pianzola, Arturo; Prelat, Daniel; Sepp, Claudia
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The existence of nondegenerate invariant bilinear forms is one of the most important tools in the study of Kac-Moody Lie algebras and extended affine Lie algebras. In practice, these forms are created, or shown to exist, either by assumption or in an ad hoc basis. The purpose of this work is to describe the nature of the space of invariant bilinear forms of certain algebras given by faithfully flat descent (which includes the affine Kac-Moody Lie algebras, as well as Azumaya algebras and multiloop algebras) within a functorial framework. This will allow us to conclude the existence, uniqueness and nature of invariant bilinear forms for many important classes of algebras.
Fil: Neher, Erhard. University of Ottawa; Canadá
Fil: Pianzola, Arturo. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. University of Alberta; Canadá
Fil: Prelat, Daniel. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina
Fil: Sepp, Claudia. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
CENTROID
FAITHFULLY FLAT DESCENT
INVARIANT BILINEAR FORM
TWISTED FORM
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:11336/99290
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Invariant bilinear forms of algebras given by faithfully flat descentNeher, ErhardPianzola, ArturoPrelat, DanielSepp, ClaudiaCENTROIDFAITHFULLY FLAT DESCENTINVARIANT BILINEAR FORMTWISTED FORMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The existence of nondegenerate invariant bilinear forms is one of the most important tools in the study of Kac-Moody Lie algebras and extended affine Lie algebras. In practice, these forms are created, or shown to exist, either by assumption or in an ad hoc basis. The purpose of this work is to describe the nature of the space of invariant bilinear forms of certain algebras given by faithfully flat descent (which includes the affine Kac-Moody Lie algebras, as well as Azumaya algebras and multiloop algebras) within a functorial framework. This will allow us to conclude the existence, uniqueness and nature of invariant bilinear forms for many important classes of algebras.Fil: Neher, Erhard. University of Ottawa; CanadáFil: Pianzola, Arturo. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. University of Alberta; CanadáFil: Prelat, Daniel. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; ArgentinaFil: Sepp, Claudia. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaWorld Scientific2015-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/99290Neher, Erhard; Pianzola, Arturo; Prelat, Daniel; Sepp, Claudia; Invariant bilinear forms of algebras given by faithfully flat descent; World Scientific; Communications In Contemporary Mathematics; 17; 2; 4-2015; 1-37; 14500090219-1997CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219199714500096info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219199714500096info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:11:30Zoai:ri.conicet.gov.ar:11336/99290instacron: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:34982025-10-22 11:11:30.4CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Invariant bilinear forms of algebras given by faithfully flat descent
title Invariant bilinear forms of algebras given by faithfully flat descent
spellingShingle Invariant bilinear forms of algebras given by faithfully flat descent
Neher, Erhard
CENTROID
FAITHFULLY FLAT DESCENT
INVARIANT BILINEAR FORM
TWISTED FORM
title_short Invariant bilinear forms of algebras given by faithfully flat descent
title_full Invariant bilinear forms of algebras given by faithfully flat descent
title_fullStr Invariant bilinear forms of algebras given by faithfully flat descent
title_full_unstemmed Invariant bilinear forms of algebras given by faithfully flat descent
title_sort Invariant bilinear forms of algebras given by faithfully flat descent
dc.creator.none.fl_str_mv Neher, Erhard
Pianzola, Arturo
Prelat, Daniel
Sepp, Claudia
author Neher, Erhard
author_facet Neher, Erhard
Pianzola, Arturo
Prelat, Daniel
Sepp, Claudia
author_role author
author2 Pianzola, Arturo
Prelat, Daniel
Sepp, Claudia
author2_role author
author
author
dc.subject.none.fl_str_mv CENTROID
FAITHFULLY FLAT DESCENT
INVARIANT BILINEAR FORM
TWISTED FORM
topic CENTROID
FAITHFULLY FLAT DESCENT
INVARIANT BILINEAR FORM
TWISTED FORM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The existence of nondegenerate invariant bilinear forms is one of the most important tools in the study of Kac-Moody Lie algebras and extended affine Lie algebras. In practice, these forms are created, or shown to exist, either by assumption or in an ad hoc basis. The purpose of this work is to describe the nature of the space of invariant bilinear forms of certain algebras given by faithfully flat descent (which includes the affine Kac-Moody Lie algebras, as well as Azumaya algebras and multiloop algebras) within a functorial framework. This will allow us to conclude the existence, uniqueness and nature of invariant bilinear forms for many important classes of algebras.
Fil: Neher, Erhard. University of Ottawa; Canadá
Fil: Pianzola, Arturo. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. University of Alberta; Canadá
Fil: Prelat, Daniel. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina
Fil: Sepp, Claudia. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The existence of nondegenerate invariant bilinear forms is one of the most important tools in the study of Kac-Moody Lie algebras and extended affine Lie algebras. In practice, these forms are created, or shown to exist, either by assumption or in an ad hoc basis. The purpose of this work is to describe the nature of the space of invariant bilinear forms of certain algebras given by faithfully flat descent (which includes the affine Kac-Moody Lie algebras, as well as Azumaya algebras and multiloop algebras) within a functorial framework. This will allow us to conclude the existence, uniqueness and nature of invariant bilinear forms for many important classes of algebras.
publishDate 2015
dc.date.none.fl_str_mv 2015-04
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/11336/99290
Neher, Erhard; Pianzola, Arturo; Prelat, Daniel; Sepp, Claudia; Invariant bilinear forms of algebras given by faithfully flat descent; World Scientific; Communications In Contemporary Mathematics; 17; 2; 4-2015; 1-37; 1450009
0219-1997
CONICET Digital
CONICET
url http://hdl.handle.net/11336/99290
identifier_str_mv Neher, Erhard; Pianzola, Arturo; Prelat, Daniel; Sepp, Claudia; Invariant bilinear forms of algebras given by faithfully flat descent; World Scientific; Communications In Contemporary Mathematics; 17; 2; 4-2015; 1-37; 1450009
0219-1997
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://www.worldscientific.com/doi/abs/10.1142/S0219199714500096
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219199714500096
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 World Scientific
publisher.none.fl_str_mv World Scientific
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 12.982451

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