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The centralizer of an endomorphism over an arbitrary field

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The centralizer of an endomorphism over an arbitrary field

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dc.contributor.author Mingueza, David es_ES
dc.contributor.author Montoro, M. Eulàlia es_ES
dc.contributor.author Roca Martinez, Alicia es_ES
dc.date.accessioned 2021-02-11T04:32:55Z
dc.date.available 2021-02-11T04:32:55Z
dc.date.issued 2020-04-15 es_ES
dc.identifier.issn 0024-3795 es_ES
dc.identifier.uri http://hdl.handle.net/10251/161058
dc.description.abstract [EN] The centralizer of an endomorphism of a finite dimensional vector space is known when the endomorphism is nonderogatory or when its minimal polynomial splits over the field. It is also known for the real Jordan canonical form. In this paper we characterize the centralizer of an endomorphism over an arbitrary field, and compute its dimension. The result is obtained via generalized Jordan canonical forms (for separable and nonseparable minimal polynomials). In addition, we also obtain the corresponding generalized Weyr canonical forms and the structure of its centralizers, which in turn allows us to compute the determinant of its elements. (C) 2020 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship The second author is partially supported by "Ministerio de Economía, Industria y Competitividad (MINECO)" of Spain and "Fondo Europeo de Desarrollo Regional (FEDER)" of EU through grants MTM2015-65361-P and MTM2017-90682-REDT. The third author is partially supported by "Ministerio de Economía, Industria y Competitividad (MINECO)" of Spain and "Fondo Europeo de Desarrollo Regional (FEDER)" of EU through grants MTM2017-83624-P and MTM2017-90682-REDT. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Linear Algebra and its Applications es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Centralizer es_ES
dc.subject Companion matrices es_ES
dc.subject Nonseparable polynomials es_ES
dc.subject Generalized Jordan canonical form es_ES
dc.subject Generalized Weyr canonical form es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The centralizer of an endomorphism over an arbitrary field es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.laa.2020.01.013 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-65361-P/ES/VARIEDADES ALGEBRAICAS, LINEALES Y DIFERENCIABLES, ARITMETICA Y MODULI/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83624-P/ES/MODELOS POLINOMIALES, SISTEMAS CUADRATICOS Y MATRICES: ESTRUCTURA, LINEALIZACIONES Y PERTURBACION/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Mingueza, D.; Montoro, ME.; Roca Martinez, A. (2020). The centralizer of an endomorphism over an arbitrary field. Linear Algebra and its Applications. 591:322-351. https://doi.org/10.1016/j.laa.2020.01.013 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.laa.2020.01.013 es_ES
dc.description.upvformatpinicio 322 es_ES
dc.description.upvformatpfin 351 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 591 es_ES
dc.relation.pasarela S\401231 es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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dc.description.references Mingueza, D., Eulàlia Montoro, M., & Pacha, J. R. (2013). Description of characteristic non-hyperinvariant subspaces over the fieldGF(2). Linear Algebra and its Applications, 439(12), 3734-3745. doi:10.1016/j.laa.2013.10.025 es_ES
dc.description.references Mingueza, D., Montoro, M. E., & Roca, A. (2018). The lattice of characteristic subspaces of an endomorphism with Jordan–Chevalley decomposition. Linear Algebra and its Applications, 558, 63-73. doi:10.1016/j.laa.2018.08.005 es_ES
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