dc.creator | Capriotti, Santiago | |
dc.creator | Montani, Hugo Santos | |
dc.date.accessioned | 2017-07-31T22:45:30Z | |
dc.date.accessioned | 2018-11-06T14:26:53Z | |
dc.date.available | 2017-07-31T22:45:30Z | |
dc.date.available | 2018-11-06T14:26:53Z | |
dc.date.created | 2017-07-31T22:45:30Z | |
dc.date.issued | 2014-05 | |
dc.identifier | Capriotti, Santiago; Montani, Hugo Santos; Integrable systems on semidirect product Lie groups; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 47; 206; 5-2014; 1-23 | |
dc.identifier | 1751-8113 | |
dc.identifier | http://hdl.handle.net/11336/21691 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1886454 | |
dc.description.abstract | We study integrable systems on the semidirect product of a Lie group and its Lie algebra as the representation space of the adjoint action. Regarding the tangent bundle of a Lie group as phase space endowed with this semidirect product Lie group structure, we construct a class of symplectic submanifolds equipped with a Dirac bracket on which integrable systems (in the Adler–Kostant–Symes sense) are naturally built through collective dynamics. In doing so, we address other issues such as factorization, Poisson–Lie structures and dressing actions. We show that the procedure becomes recursive for some particular Hamilton functions, giving rise to a tower of nested integrable systems. | |
dc.language | eng | |
dc.publisher | IOP Publishing | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/47/20/205206/ | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1751-8113/47/20/205206 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | Integrable systems | |
dc.subject | Adler–Kostant–Symes method | |
dc.subject | Semidirect product Lie algebras | |
dc.title | Integrable systems on semidirect product Lie groups | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |