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Computing the cardinality of the lattice of characteristic subspaces

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Computing the cardinality of the lattice of characteristic subspaces

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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 2018-09-17T07:07:00Z
dc.date.available 2018-09-17T07:07:00Z
dc.date.issued 2017 es_ES
dc.identifier.issn 0024-3795 es_ES
dc.identifier.uri http://hdl.handle.net/10251/107350
dc.description.abstract [EN] We obtain the cardinality of the lattice of characteristic sub-spaces of a nilpotent Jordan matrix when the underlying field is GF(2), the only field where the lattices of characteristic and hyperinvariant subspaces can be different. If the charac-teristic polynomial of the matrix splits in the field, the general case can be reduced to the nilpotent Jordan case. Results are complex and highly combinatorial, and include the design of an algorithm. es_ES
dc.description.sponsorship The second author is partially supported by grant MTM2015-65361-P MINECO/FEDER, UE. The third author is partially supported by grants MTM2013-40960-P MINECO and MTM2015-68805-REDT. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation MINECO/MTM2013-40960-P es_ES
dc.relation MINECO/MTM2015-68805-REDT es_ES
dc.relation.ispartof Linear Algebra and its Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject We obtain the cardinality of the lattice of characteristic sub-spaces of a nilpotent Jordan matrix when the underlying field is GF(2), the only field where the lattices of characteristic and hyperinvariant subspaces can be different. If the characteristic polynomial of the matrix splits in the field, the general case can be reduced to the nilpotent Jordan case. Results are complex and highly combinatorial, and include the design of an algorithm. es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Computing the cardinality of the lattice of characteristic subspaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.laa.2016.10.031 es_ES
dc.rights.accessRights Cerrado 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, M.; Roca Martinez, A. (2017). Computing the cardinality of the lattice of characteristic subspaces. Linear Algebra and its Applications. 514:82-104. doi:10.1016/j.laa.2016.10.031 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.laa.2016.10.031 es_ES
dc.description.upvformatpinicio 82 es_ES
dc.description.upvformatpfin 104 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 514 es_ES
dc.relation.pasarela 327170 es_ES
dc.contributor.funder MINECO es_ES


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