On the Complexity of Lie Algebras

Autores
Groote, Hans F. de; Heintz, Joos; Möhler, Stefan; Schmidt, Heinz
Año de publicación
1987
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
Let U, V, W be finite dimensional vector spaces over a field k and let : U x V → W be a bilinear mapping. The (multiplieative) complexity L(~) of ~ is defined as the least r ∈~ such that there are linear forms Ul,...,u r , Vl,...,v r ∈ (U xV) and elements Wl,...,w r ∈ W satisfying r ~(x,y) = ~ Up(X,y) Vp(X,y) Wp for all (x~y) ∈ U× V .
Departamento de Matemática
Materia
Matemática
Bilinear Mapping
Double Centralizer
Borel Subalgebra
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/137412
Acceder
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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling On the Complexity of Lie AlgebrasGroote, Hans F. deHeintz, JoosMöhler, StefanSchmidt, HeinzMatemáticaBilinear MappingDouble CentralizerBorel SubalgebraLet U, V, W be finite dimensional vector spaces over a field k and let : U x V → W be a bilinear mapping. The (multiplieative) complexity L(~) of ~ is defined as the least r ∈~ such that there are linear forms Ul,...,u r , Vl,...,v r ∈ (U xV) and elements Wl,...,w r ∈ W satisfying r ~(x,y) = ~ Up(X,y) Vp(X,y) Wp for all (x~y) ∈ U× V .Departamento de Matemática1987info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf172-179http://sedici.unlp.edu.ar/handle/10915/137412enginfo:eu-repo/semantics/altIdentifier/issn/0302-9743info:eu-repo/semantics/altIdentifier/issn/1611-3349info:eu-repo/semantics/altIdentifier/doi/10.1007/3-540-18740-5_39info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:48Zoai:sedici.unlp.edu.ar:10915/137412Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:48.444SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the Complexity of Lie Algebras
title On the Complexity of Lie Algebras
spellingShingle On the Complexity of Lie Algebras
Groote, Hans F. de
Matemática
Bilinear Mapping
Double Centralizer
Borel Subalgebra
title_short On the Complexity of Lie Algebras
title_full On the Complexity of Lie Algebras
title_fullStr On the Complexity of Lie Algebras
title_full_unstemmed On the Complexity of Lie Algebras
title_sort On the Complexity of Lie Algebras
dc.creator.none.fl_str_mv Groote, Hans F. de
Heintz, Joos
Möhler, Stefan
Schmidt, Heinz
author Groote, Hans F. de
author_facet Groote, Hans F. de
Heintz, Joos
Möhler, Stefan
Schmidt, Heinz
author_role author
author2 Heintz, Joos
Möhler, Stefan
Schmidt, Heinz
author2_role author
author
author
dc.subject.none.fl_str_mv Matemática
Bilinear Mapping
Double Centralizer
Borel Subalgebra
topic Matemática
Bilinear Mapping
Double Centralizer
Borel Subalgebra
dc.description.none.fl_txt_mv Let U, V, W be finite dimensional vector spaces over a field k and let : U x V → W be a bilinear mapping. The (multiplieative) complexity L(~) of ~ is defined as the least r ∈~ such that there are linear forms Ul,...,u r , Vl,...,v r ∈ (U xV) and elements Wl,...,w r ∈ W satisfying r ~(x,y) = ~ Up(X,y) Vp(X,y) Wp for all (x~y) ∈ U× V .
Departamento de Matemática
description Let U, V, W be finite dimensional vector spaces over a field k and let : U x V → W be a bilinear mapping. The (multiplieative) complexity L(~) of ~ is defined as the least r ∈~ such that there are linear forms Ul,...,u r , Vl,...,v r ∈ (U xV) and elements Wl,...,w r ∈ W satisfying r ~(x,y) = ~ Up(X,y) Vp(X,y) Wp for all (x~y) ∈ U× V .
publishDate 1987
dc.date.none.fl_str_mv 1987
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Objeto de conferencia
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/137412
url http://sedici.unlp.edu.ar/handle/10915/137412
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0302-9743
info:eu-repo/semantics/altIdentifier/issn/1611-3349
info:eu-repo/semantics/altIdentifier/doi/10.1007/3-540-18740-5_39
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
172-179
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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