Lagrangian dynamics on matched pairs

Basit Öğe Kaydı
dc.authorid0000-0003-0925-8668
dc.authorid0000-0002-6766-0287
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.contributor.authorEsen, Oğulen_US
dc.date.accessioned2016-12-27T07:26:53Z
dc.date.available2016-12-27T07:26:53Z
dc.date.issued2017-01
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractGiven a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler–Lagrange equations on the trivialized matched pair of tangent groups, as well as the Euler–Poincaré equations on the matched pair of Lie algebras. We show explicitly how these equations cover those of the semi-direct product theory. In particular, we study the trivialized, and the reduced Lagrangian dynamics on the group SL(2,C).en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationEsen, O. & Sütlü, S. S. (2017). Lagrangian dynamics on matched pairs. Journal of Geometry and Physics, 111, 142-157. doi:10.1016/j.geomphys.2016.10.005en_US
dc.identifier.doi10.1016/j.geomphys.2016.10.005
dc.identifier.endpage157
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.scopus2-s2.0-84995560985
dc.identifier.scopusqualityQ2
dc.identifier.startpage142
dc.identifier.urihttps://hdl.handle.net/11729/1155
dc.identifier.urihttp://dx.doi.org/10.1016/j.geomphys.2016.10.005
dc.identifier.volume111
dc.identifier.wosWOS:000390501800010
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkan Selçuken_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier Science BVen_US
dc.relation.ispartofJournal of Geometry and Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEuler–Poincaré equationsen_US
dc.subjectLagrangian reductionen_US
dc.subjectMatched pair of Lie algebrasen_US
dc.subjectMatched pair of Lie groupsen_US
dc.subjectTrivialized Euler–Lagrange equationsen_US
dc.subjectLie-groupsen_US
dc.subjectSemidirect productsen_US
dc.subjectHopf-algebrasen_US
dc.subjectReductionen_US
dc.subjectPoissonen_US
dc.subjectMechanicsen_US
dc.subjectSystemsen_US
dc.subjectLagrangianen_US
dc.subjectLagrangian functionen_US
dc.subjectOptimal controlen_US
dc.titleLagrangian dynamics on matched pairsen_US
dc.typeArticleen_US

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