{"id":155502,"date":"2026-01-12T17:20:57","date_gmt":"2026-01-12T17:20:57","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/problemas-de-factorizacion-y-sistemas-integrables\/"},"modified":"2026-01-12T17:20:57","modified_gmt":"2026-01-12T17:20:57","slug":"problemas-de-factorizacion-y-sistemas-integrables","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/problemas-de-factorizacion-y-sistemas-integrables\/","title":{"rendered":"Problemas de factorizacion y sistemas integrables"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Manuel Ma\u00f1as Baena <\/strong><\/h2>\n<p>Los sistemas integrables son de extremo interes en fisica y matematicas. Ello se debe a las asombrosas propiedades que presentan desde ambos puntos de vista. En este trabajo se analizan ciertas propiedades geometricas de tales sistemas. Los problemas de factorizacion en grupos de lie son esenciales en la descripcion de la teoria de los sistemas integrables dada en esta tesis. Ciertos flujos conmutativos sobre el grupo de lie se proyectan en un espacio homogeneo g\/g+, donde g+ es un subgrupo de g.  si existe un subgrupo g- difeomorfo a esta variedad homogenea describiremos estas proyecciones en terminos del algebra de lie de g-. El formalismo de la matriz r permite una sistematizacion de esta construccion.  muchos sistemas integrables emergen dentro de este marco, permitiendo un analisis detallado de las estructuras algebraicas subyacentes a la integrabilidad.  esta aproximacion al problema lleva consigo un mejor entendimiento de las relaciones existentes entre las ecuaciones de autodulidad para los campos de yang-mills y ciertos sistemas integrables.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Problemas de factorizacion y sistemas integrables<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Problemas de factorizacion y sistemas integrables <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Manuel Ma\u00f1as Baena <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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>Francisco Guil Guerrero<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Alberto Galindo Tixaire <\/li>\n<li>Jos\u00e9 Cari\u00f1ena Marzo (vocal)<\/li>\n<li>Lorenzo Abellanas Rapun (vocal)<\/li>\n<li>Mar\u00eda no Del Olmo Martinez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Manuel Ma\u00f1as Baena Los sistemas integrables son de extremo interes en fisica y matematicas. Ello se debe [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[986,199,1432,21062,126,14443,585],"tags":[5769,110155,269605,6251,228309,104706],"class_list":["post-155502","post","type-post","status-publish","format-standard","hentry","category-complutense-de-madrid","category-fisica","category-fisica-teorica","category-grupos-de-lie","category-matematicas","category-teoria-de-campos","category-topologia","tag-alberto-galindo-tixaire","tag-francisco-guil-guerrero","tag-jose-carinena-marzo","tag-lorenzo-abellanas-rapun","tag-manuel-manas-baena","tag-maria-no-del-olmo-Martinez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/155502","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=155502"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/155502\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=155502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=155502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=155502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}