{"id":24632,"date":"2003-11-07T00:00:00","date_gmt":"2003-11-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/grupos-y-grupoides-de-lie-y-estructuras-de-jacobi\/"},"modified":"2003-11-07T00:00:00","modified_gmt":"2003-11-07T00:00:00","slug":"grupos-y-grupoides-de-lie-y-estructuras-de-jacobi","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/la-laguna\/grupos-y-grupoides-de-lie-y-estructuras-de-jacobi\/","title":{"rendered":"Grupos y grupoides de lie y estructuras de jacobi"},"content":{"rendered":"<h2>Tesis doctoral de <strong> David Iglesias Ponte <\/strong><\/h2>\n<p>El prop\u00f3sito centra de esta tesis doctoral es el estudio de algunas relaciones entre la teor\u00eda de grupoides y algebroides de lie y la teor\u00eda de estructuras de jacobi. De forma m\u00e1s precisa, los principales resultados obtenidos en la tesis son:  * descripci\u00f3n de la relaci\u00f3n existente entre la teor\u00eda de los algebroides de jacobi sobre un fibrado vectorial a y las estructuras de jacobi homog\u00e9neas (con respecto al campo de lioville) en el fibrado dual a*. Hacemos notar que un algebroide de jacobi es un algebroide de lie m\u00e1s un 1-cociclo en el complejo de cohomolog\u00eda con coeficientes triviales del algebroide.  * introducci\u00f3n y caracterizaci\u00f3n de los bialgebroides de jacobi como pares de algebroides de jacobi en dualidad satisfaciendo ciertas condiciones de compatibilidad. La teor\u00eda es ilustrada por la presentaci\u00f3n de ejemplos interesantes que justifican la introducci\u00f3n de la mencionada estructura. en particular, se tiene que todo bialgebroide de lie es un bialgebroide de jacobi.  * estudio especial de las bi\u00e1lgebras de jacobi como bialgebroides de jacobi sobre un punto aislado. As\u00ed, se propone un m\u00e9todo, que generaliza el m\u00e9todo de la ecuaci\u00f3n de yang-baxter, que permite obtener ejemplos de bi\u00e1lgebras de jacobi. Se realiza tambi\u00e9n una descripci\u00f3n de las bi\u00e1lgebras de jacobi compactas.  * introducci\u00f3n de los grupoides de jacobi (como objetos geom\u00e9tricos que generalizan los grupoides de poisson y contacto) y que pueden ser considerado como los invariantes infinitesimales de los algebroides de jacobi. Nuevamente, la teor\u00eda es ilustrada por la obtenci\u00f3n de diversos ejemplos interesantes.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Grupos y grupoides de lie y estructuras de jacobi<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Grupos y grupoides de lie y estructuras de jacobi <\/li>\n<li><strong>Autor:<\/strong>\u00a0 David Iglesias Ponte <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/07\/2003<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Marrero Gonz\u00e1lez Juan  Carlos<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel De le\u00f3n rodr\u00edguez <\/li>\n<li>eduardo Mart\u00ednez fern\u00e1ndez (vocal)<\/li>\n<li>janusz Grabowski (vocal)<\/li>\n<li>  (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de David Iglesias Ponte El prop\u00f3sito centra de esta tesis doctoral es el estudio de algunas relaciones entre [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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