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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/99290
Ver los metadatos del registro completo
id |
CONICETDig_ae72a18dcddba21b3c4adf1307b12cdb |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/99290 |
network_acronym_str |
CONICETDig |
repository_id_str |
3498 |
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 Técnicas2025-09-29T09:42:53Zoai: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:34982025-09-29 09:42:53.407CONICET 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 |
_version_ |
1844613350218006528 |
score |
13.070432 |