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dc.contributor.authorReyes Villamil, Milton Armando
dc.date.accessioned2021-12-21T19:50:00Z
dc.date.available2021-12-21T19:50:00Z
dc.date.issued2015-05-02
dc.identifier.urihttp://repositorio.uptc.edu.co/handle/001/7824
dc.description.abstractSpa: The Diamond Lemma provides a general method in order to prove that certain sets are bases of algebras which are defined in terms of generators and relations. For instance, the Poincar´e-Birkhoff-Witt theorem for enveloping algebras can be derived from it. We present some examples that illustrate the usefulness of this lemma. These examples are of interest for modern mathematical physics. The classes of rings we consider include as a special cases: quantum plane, algebra of q-differential operators, (quantum) Heisenberg and Weyl algebras, (quantum) enveloping algebra of the Lie algebra and others. Key words: Poincaré-Birkhoff-Witt theorem, monomials, generators.spa
dc.format.mimetypeapplication/pdf
dc.language.isospa
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0/
dc.sourcehttps://rdigitales.uptc.edu.co/memorias/index.php/mate_estadistica/mate_estadistica/paper/view/830
dc.titleThe diamond lemmaspa
dc.typeDocumento de Conferencia
dc.identifier.local830
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.licenseAtribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)
dc.type.coarhttp://purl.org/coar/resource_type/c_8544
dc.type.driverinfo:eu-repo/semantics/conferenceObject
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.instnameinstname:Universidad Pedagogica y Tecnologica de Colombia
dc.identifier.reponamereponame:Repositorio de la Universidad Pedagogica y Tecnologica de Colombia
dc.identifier.repourlrepourl:https://repositorio.uptc.edu.co/
dc.relation.ispartofconferenceI Encuentro Internacional de Matemáticas, Estadística y Educación Matemática XXII Jornada de Matemáticas y Estadistaspa
dc.type.contentText
dc.relation.bitstreamhttps://rdigitales.uptc.edu.co/memorias/index.php/mate_estadistica/mate_estadistica/paper/download/830/821
dc.type.coarversionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
dc.rights.coarhttp://purl.org/coar/access_right/c_14cb


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