Generalized Nijenhuis torsions and block-diagonalization of operator fields

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dc.contributor.authorReyes Nozaleda, Daniel
dc.contributor.authorTempesta, Piergiulio
dc.contributor.authorTondo, Giorgio
dc.date.accessioned2023-06-22T12:47:23Z
dc.date.available2023-06-22T12:47:23Z
dc.date.issued2023-04
dc.description© The Author(s) 2023 We wish to thank the anonymous referees for many useful observations. This work has been partly supported by the research project PGC2018-094898-B-I00, MICINN, Spain, and by the Severo Ochoa Programme for Centres of Excellence in R & D (CEX2019-000904-S), Ministerio de Ciencia, Innovacion y Universidades y Agencia Estatal de Investigacion, Spain. D. R. N. acknowledges the financial support of EXINA S.L.P. T. and G. T. are members of the Gruppo Nazionale di Fisica Matematica (GNFM).
dc.description.abstractThe theory of generalized Nijenhuis torsions, which extends the classical notions due to Nijenhuis and Haantjes, offers new tools for the study of normal forms of operator fields. We prove a general result ensuring that, given a family of commuting operator fields whose generalized Nijenhuis torsion of level m vanishes, there exists a local chart where all operators can be simultaneously block-diagonalized. We also introduce the notion of generalized Haantjes algebra, consisting of operators with a vanishing higher-level torsion, as a new algebraic structure naturally generalizing standard Haantjes algebras.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipCentros de Excelencia Severo Ochoa (MICINN)
dc.description.sponsorshipEXINA S.L.P. T.
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/77359
dc.identifier.doi10.1007/s00332-022-09877-8
dc.identifier.issn0938-8974
dc.identifier.officialurlhttp://dx.doi.org/10.1007/s00332-022-09877-8
dc.identifier.relatedurlhttps://link.springer.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/73182
dc.issue.number2
dc.journal.titleJournal of nonlinear science
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDPGC2018-094898-B-I00
dc.relation.projectIDCEX2019-000904-S
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu51-73
dc.subject.keywordHaantjes
dc.subject.keywordSystems
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleGeneralized Nijenhuis torsions and block-diagonalization of operator fields
dc.typejournal article
dc.volume.number33
dspace.entity.typePublication
relation.isAuthorOfPublication971d0f71-6492-42eb-9914-45b81a7d3855
relation.isAuthorOfPublication46e9a666-a5cf-44c3-8726-7cbe2c61bd1a
relation.isAuthorOfPublication.latestForDiscovery971d0f71-6492-42eb-9914-45b81a7d3855
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