Gelfand-kirillov dimension of skew pbw extensions

Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), the aim of this paper is to compute this dimension for these extensions an...

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Autores:: Reyes, Armando

Tipo de recurso:: Article of journal

Fecha de publicación:: 2013

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: spa

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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_abf2Reyes, Armando5ef6c88d-b616-4fe2-a14f-8496d7801ed53002019-06-29T08:36:17Z2019-06-29T08:36:17Z2013https://repositorio.unal.edu.co/handle/unal/49337http://bdigital.unal.edu.co/42794/Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), the aim of this paper is to compute this dimension for these extensions and hence generalize Matczuk's results for several algebras which can not be classified as PBW extensions.La dimensión de Gelfand-Kirillov de las extensiones de Poincaré-Birkhoff-Witt (abreviadas PBW) fue establecida por Matczuk ([15] Theorem A). Dado que las extensiones PBW son un ejemplo particular de las extensiones PBW torcidas (también llamadas extensiones σ-PBW), el objetivo de este artículo es calcular esta dimensión para dichas extensiones y así generalizar los resultados de Matczuk para varias álgebras que no pueden ser clasificadas como extensiones PBW.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45172Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 95-111 2357-4100 0034-7426Reyes, Armando (2013) Gelfand-kirillov dimension of skew pbw extensions. Revista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 95-111 2357-4100 0034-7426 .Gelfand-kirillov dimension of skew pbw extensionsArtículo 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/ARTÁlgebras no conmutativasanillos filtrado graduadosextensiones PBWpolinomios cuánticos torcidosdimensión de Gelfand-KirillovNon-commutative algebrasFiltered and graded ringsPBW extensionsSkew quantum polynomialsGelfand Kirillov dimensionORIGINAL45172-216822-1-SM.pdfapplication/pdf438262https://repositorio.unal.edu.co/bitstream/unal/49337/1/45172-216822-1-SM.pdf26824a2b00daa6f110b252bd8d26c82bMD5145172-216830-2-PB.htmltext/html6605https://repositorio.unal.edu.co/bitstream/unal/49337/2/45172-216830-2-PB.html3a682c759914e9263d9d5814cb2975bbMD52THUMBNAIL45172-216822-1-SM.pdf.jpg45172-216822-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4802https://repositorio.unal.edu.co/bitstream/unal/49337/3/45172-216822-1-SM.pdf.jpg5af53489fb56cd69f695883f2f9c6abdMD53unal/49337oai:repositorio.unal.edu.co:unal/493372022-12-14 23:03:58.925Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv	Gelfand-kirillov dimension of skew pbw extensions
title	Gelfand-kirillov dimension of skew pbw extensions
spellingShingle	Gelfand-kirillov dimension of skew pbw extensions Álgebras no conmutativas anillos filtrado graduados extensiones PBW polinomios cuánticos torcidos dimensión de Gelfand-Kirillov Non-commutative algebras Filtered and graded rings PBW extensions Skew quantum polynomials Gelfand Kirillov dimension
title_short	Gelfand-kirillov dimension of skew pbw extensions
title_full	Gelfand-kirillov dimension of skew pbw extensions
title_fullStr	Gelfand-kirillov dimension of skew pbw extensions
title_full_unstemmed	Gelfand-kirillov dimension of skew pbw extensions
title_sort	Gelfand-kirillov dimension of skew pbw extensions
dc.creator.fl_str_mv	Reyes, Armando
dc.contributor.author.spa.fl_str_mv	Reyes, Armando
dc.subject.proposal.spa.fl_str_mv	Álgebras no conmutativas anillos filtrado graduados extensiones PBW polinomios cuánticos torcidos dimensión de Gelfand-Kirillov Non-commutative algebras Filtered and graded rings PBW extensions Skew quantum polynomials Gelfand Kirillov dimension
topic	Álgebras no conmutativas anillos filtrado graduados extensiones PBW polinomios cuánticos torcidos dimensión de Gelfand-Kirillov Non-commutative algebras Filtered and graded rings PBW extensions Skew quantum polynomials Gelfand Kirillov dimension
description	Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), the aim of this paper is to compute this dimension for these extensions and hence generalize Matczuk's results for several algebras which can not be classified as PBW extensions.
publishDate	2013
dc.date.issued.spa.fl_str_mv	2013
dc.date.accessioned.spa.fl_str_mv	2019-06-29T08:36:17Z
dc.date.available.spa.fl_str_mv	2019-06-29T08:36:17Z
dc.type.spa.fl_str_mv	Artículo de revista
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dc.identifier.eprints.spa.fl_str_mv	http://bdigital.unal.edu.co/42794/
url	https://repositorio.unal.edu.co/handle/unal/49337 http://bdigital.unal.edu.co/42794/
dc.language.iso.spa.fl_str_mv	spa
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dc.relation.spa.fl_str_mv	http://revistas.unal.edu.co/index.php/recolma/article/view/45172
dc.relation.ispartof.spa.fl_str_mv	Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv	Revista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 95-111 2357-4100 0034-7426
dc.relation.references.spa.fl_str_mv	Reyes, Armando (2013) Gelfand-kirillov dimension of skew pbw extensions. Revista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 95-111 2357-4100 0034-7426 .
dc.rights.spa.fl_str_mv	Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv	Atribución-NoComercial 4.0 Internacional
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dc.publisher.spa.fl_str_mv	Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
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Gelfand-kirillov dimension of skew pbw extensions

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