dc.contributor.author | Sütlü, Serkan Selçuk | en_US |
dc.contributor.author | Esen, Oğul | en_US |
dc.date.accessioned | 2016-12-27T07:26:53Z | |
dc.date.available | 2016-12-27T07:26:53Z | |
dc.date.issued | 2017-01 | |
dc.identifier.citation | Esen, O. & Sütlü, S. S. (2017). Lagrangian dynamics on matched pairs. Journal of Geometry and Physics, 111, 142-157. doi:10.1016/j.geomphys.2016.10.005 | en_US |
dc.identifier.issn | 0393-0440 | |
dc.identifier.issn | 1879-1662 | |
dc.identifier.uri | https://hdl.handle.net/11729/1155 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.geomphys.2016.10.005 | |
dc.description.abstract | Given 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.language.iso | eng | en_US |
dc.publisher | Elsevier Science BV | en_US |
dc.relation.isversionof | 10.1016/j.geomphys.2016.10.005 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Euler–Poincaré equations | en_US |
dc.subject | Lagrangian reduction | en_US |
dc.subject | Matched pair of Lie algebras | en_US |
dc.subject | Matched pair of Lie groups | en_US |
dc.subject | Trivialized Euler–Lagrange equations | en_US |
dc.subject | Lie-groups | en_US |
dc.subject | Semidirect products | en_US |
dc.subject | Hopf-algebras | en_US |
dc.subject | Reduction | en_US |
dc.subject | Poisson | en_US |
dc.subject | Mechanics | en_US |
dc.subject | Systems | en_US |
dc.subject | Lagrangian | en_US |
dc.subject | Lagrangian function | en_US |
dc.subject | Optimal control | en_US |
dc.title | Lagrangian dynamics on matched pairs | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Journal of Geometry and Physics | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0003-0925-8668 | |
dc.identifier.volume | 111 | |
dc.identifier.startpage | 142 | |
dc.identifier.endpage | 157 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Sütlü, Serkan Selçuk | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q1 | |
dc.description.wosid | WOS:000390501800010 | |