Total Ring of fractions of skew PBW extensions

We study the Gelfand Kirillov conjecture for some algebras and rings, we use similar tools for studying the ring of fractions of skew PBW extensions, establishing isomorphisms between algebras and rings. Particular cases are studied as is the case of Lie algebras and Abstract. Weyl algebras to which...

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Autores:
Ojeda Otálora, Ingrid
Tipo de recurso:
Fecha de publicación:
2014
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/51877
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/51877
http://bdigital.unal.edu.co/46103/
Palabra clave:
51 Matemáticas / Mathematics
Skew PBW extensions
Ring of fractions
Gelfand kirillov conjecture
Gelfand kirillov transcendence degree
Gelfand kirillov dimension
Extensiones PBW torcidas
Anillo de fracciones
Conjetura de Gelfand kirillov
Dimensión Gelfand kirilliov
Grado de trascendencia de Gelfand kirillov
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_a7c642f4d07f817fdd54cdea8369f9ed
oai_identifier_str oai:repositorio.unal.edu.co:unal/51877
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repository_id_str
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_abf2Lezama Serrano, José OswaldoOjeda Otálora, Ingrid3e4bf8bb-a1bf-4b1b-bba4-ac275e70a0e43002019-06-29T12:59:36Z2019-06-29T12:59:36Z2014https://repositorio.unal.edu.co/handle/unal/51877http://bdigital.unal.edu.co/46103/We study the Gelfand Kirillov conjecture for some algebras and rings, we use similar tools for studying the ring of fractions of skew PBW extensions, establishing isomorphisms between algebras and rings. Particular cases are studied as is the case of Lie algebras and Abstract. Weyl algebras to which we devote the entire first chapter of preliminaries, then we make a collection about the conjecture for the classical and quantum case in the second chapter. To finally conclude with skew PBW extensions, which cover many algebras under study.Nosotros estudiamos la conjetura de Gelfand-Kirillov para algunas álgebras y empleamos herramientas similares para el caso del anillo de fracciones de extensiones PBW torcidas, estableciendo isomorfismos entre álgebras y anillos. Se estudian casos particulares como las álgebras de Lie y álgebras de Weyl al cual le dedicamos todo el primer capitulo de preliminares. Luego hacemos una recopilación acerca de la conjetura para el caso clásico y cuántico en el segundo capítulo. Para finalmente concluir con las extensiones PBW torcidas, las cuales abarcan muchas álgebras en estudio.Maestríaapplication/pdfspaUniversidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de MatemáticasDepartamento de MatemáticasOjeda Otálora, Ingrid (2014) Total Ring of fractions of skew PBW extensions. Maestría thesis, Universidad Nacional de Colombia.51 Matemáticas / MathematicsSkew PBW extensionsRing of fractionsGelfand kirillov conjectureGelfand kirillov transcendence degreeGelfand kirillov dimensionExtensiones PBW torcidasAnillo de fraccionesConjetura de Gelfand kirillovDimensión Gelfand kirilliovGrado de trascendencia de Gelfand kirillovTotal Ring of fractions of skew PBW extensionsTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMORIGINAL1032424787.2014.pdfapplication/pdf1360137https://repositorio.unal.edu.co/bitstream/unal/51877/1/1032424787.2014.pdf7f3692566d88e40bd3f80b1b2db0f7f7MD51THUMBNAIL1032424787.2014.pdf.jpg1032424787.2014.pdf.jpgGenerated Thumbnailimage/jpeg3788https://repositorio.unal.edu.co/bitstream/unal/51877/2/1032424787.2014.pdf.jpg226968aeeb25380a688bd7a64f0eac5dMD52unal/51877oai:repositorio.unal.edu.co:unal/518772024-02-28 23:08:58.44Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Total Ring of fractions of skew PBW extensions
title Total Ring of fractions of skew PBW extensions
spellingShingle Total Ring of fractions of skew PBW extensions
51 Matemáticas / Mathematics
Skew PBW extensions
Ring of fractions
Gelfand kirillov conjecture
Gelfand kirillov transcendence degree
Gelfand kirillov dimension
Extensiones PBW torcidas
Anillo de fracciones
Conjetura de Gelfand kirillov
Dimensión Gelfand kirilliov
Grado de trascendencia de Gelfand kirillov
title_short Total Ring of fractions of skew PBW extensions
title_full Total Ring of fractions of skew PBW extensions
title_fullStr Total Ring of fractions of skew PBW extensions
title_full_unstemmed Total Ring of fractions of skew PBW extensions
title_sort Total Ring of fractions of skew PBW extensions
dc.creator.fl_str_mv Ojeda Otálora, Ingrid
dc.contributor.author.spa.fl_str_mv Ojeda Otálora, Ingrid
dc.contributor.spa.fl_str_mv Lezama Serrano, José Oswaldo
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Skew PBW extensions
Ring of fractions
Gelfand kirillov conjecture
Gelfand kirillov transcendence degree
Gelfand kirillov dimension
Extensiones PBW torcidas
Anillo de fracciones
Conjetura de Gelfand kirillov
Dimensión Gelfand kirilliov
Grado de trascendencia de Gelfand kirillov
dc.subject.proposal.spa.fl_str_mv Skew PBW extensions
Ring of fractions
Gelfand kirillov conjecture
Gelfand kirillov transcendence degree
Gelfand kirillov dimension
Extensiones PBW torcidas
Anillo de fracciones
Conjetura de Gelfand kirillov
Dimensión Gelfand kirilliov
Grado de trascendencia de Gelfand kirillov
description We study the Gelfand Kirillov conjecture for some algebras and rings, we use similar tools for studying the ring of fractions of skew PBW extensions, establishing isomorphisms between algebras and rings. Particular cases are studied as is the case of Lie algebras and Abstract. Weyl algebras to which we devote the entire first chapter of preliminaries, then we make a collection about the conjecture for the classical and quantum case in the second chapter. To finally conclude with skew PBW extensions, which cover many algebras under study.
publishDate 2014
dc.date.issued.spa.fl_str_mv 2014
dc.date.accessioned.spa.fl_str_mv 2019-06-29T12:59:36Z
dc.date.available.spa.fl_str_mv 2019-06-29T12:59:36Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/51877
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/46103/
url https://repositorio.unal.edu.co/handle/unal/51877
http://bdigital.unal.edu.co/46103/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Matemáticas
Departamento de Matemáticas
dc.relation.references.spa.fl_str_mv Ojeda Otálora, Ingrid (2014) Total Ring of fractions of skew PBW extensions. Maestría thesis, Universidad Nacional de Colombia.
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/51877/1/1032424787.2014.pdf
https://repositorio.unal.edu.co/bitstream/unal/51877/2/1032424787.2014.pdf.jpg
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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