dc.creator | Escobar, José María | es |
dc.creator | Núñez-Valdés, Juan | es |
dc.creator | Pérez Fernández, Pedro | es |
dc.date.accessioned | 2020-01-30T18:23:18Z | |
dc.date.available | 2020-01-30T18:23:18Z | |
dc.date.issued | 2019-10 | |
dc.identifier.citation | Escobar, J.M., Núñez-Valdés, J. y Pérez Fernández, P. (2019). The Invariant Two-Parameter Function of Algebras ψ. Mathematical and Computational Applications, 24 (4). Article number 89. | |
dc.identifier.issn | 2297-8747 | es |
dc.identifier.uri | https://hdl.handle.net/11441/92618 | |
dc.description.abstract | At present, the research on invariant functions for algebras is very extended since Hrivnák
and Novotný defined in 2007 the invariant functions y and j as a tool to study the Inönü–Wigner
contractions (IW-contractions), previously introduced by those authors in 1953. In this paper, we introduce
a new invariant two-parameter function of algebras, which we call ¯y, as a tool which makes easier the
computations and allows researchers to deal with contractions of algebras. Our study of this new function
is mainly focused in Malcev algebras of the type Lie, although it can also be used with any other types of
algebras. The main goal of the paper is to prove, by means of this function, that the five-dimensional
classical-mechanical model built upon certain types of five-dimensional Lie algebras cannot be obtained
as a limit process of a quantum-mechanical model based on a fifth Heisenberg algebra. As an example of
other applications of the new function obtained, its computation in the case of the Lie algebra induced
by the Lorentz group SO(3, 1) is shown and some open physical problems related to contractions are
also formulated. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación MTM2013-40455-P | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación FQM-326 (J.N.-V.) | es |
dc.description.sponsorship | Junta de Andalucía FQM-160 (P.P.-F.) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | MDPI | es |
dc.relation.ispartof | Mathematical and Computational Applications, 24 (4). Article number 89. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Invariant functions | es |
dc.subject | Contractions of algebras | es |
dc.subject | Lie algebras | es |
dc.subject | Malcev algebras | es |
dc.subject | Heisenberg algebras | es |
dc.title | The Invariant Two-Parameter Function of Algebras ψ | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada III | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | MTM2013-40455-P | es |
dc.relation.projectID | FQM-326 (J.N.-V.) | es |
dc.relation.projectID | FQM-160 (P.P.-F.) | es |
dc.relation.publisherversion | https://doi.org/10.3390/mca24040089 | es |
dc.identifier.doi | 10.3390/mca24040089 | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Mathematical and Computational Applications | es |
dc.publication.volumen | 24 | es |
dc.publication.issue | 4 | es |
dc.publication.endPage | Article number 89 | es |