Reduction (by stages) in the whole Lagrange-Poincaré category

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dc.contributor.authorBerbel López, Miguel Ángel
dc.contributor.authorCastrillón López, Marco
dc.date.accessioned2025-11-17T18:43:54Z
dc.date.available2025-11-17T18:43:54Z
dc.date.issued2022
dc.description.abstractWe study the reduction scheme in the whole LP category, introduced in [7] to perform Lagrangian reduction by stages. We answer affirmatively the open question of whether reduction can be done in the whole category. Furthermore, we analyze the Noether theorem on LP-bundles, the relationship with Hamiltonian reduction by stages and some geometric aspects of the definition of this category.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación
dc.description.sponsorshipJunta de Castilla y León
dc.description.statuspub
dc.identifier.doi10.4310/ATMP.2022.v26.n8.a2
dc.identifier.officialurlhttps://dx.doi.org/10.4310/ATMP.2022.v26.n8.a2
dc.identifier.urihttps://hdl.handle.net/20.500.14352/126146
dc.issue.number8
dc.journal.titleAdvances in theoretical and mathematical physics
dc.language.isoeng
dc.page.final2539
dc.page.initial2497
dc.publisherInternational Press
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098321-B-I00/ES/COMBINATORIA Y DINAMICA: ASPECTOS GEOMETRICOS Y TOPOLOGICOS EN VARIEDADES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-126124NB-I00/ES/ESTRUCTURAS GEOMETRICAS, TOPOLOGICAS Y COMBINATORIAS ASOCIADAS A SISTEMAS DINAMICOS/
dc.relation.projectIDSA090G19
dc.rights.accessRightsopen access
dc.subject.keywordLagrange-Poincaré category
dc.subject.keywordLie group action
dc.subject.keywordNoether theorem
dc.subject.keywordReduction
dc.subject.keywordSymmetry
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.unesco12 Matemáticas
dc.titleReduction (by stages) in the whole Lagrange-Poincaré category
dc.typejournal article
dc.volume.number26
dspace.entity.typePublication
relation.isAuthorOfPublicationaa9aeb6d-fc03-4c67-9c9c-9804e0926427
relation.isAuthorOfPublication32e59067-ef83-4ca6-8435-cd0721eb706b
relation.isAuthorOfPublication.latestForDiscovery32e59067-ef83-4ca6-8435-cd0721eb706b

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