{"id":40138,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-h-sistemas-triples-de-lie-aspectos-de-la-teoria-de-h-pares-de-jordan\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"sobre-h-sistemas-triples-de-lie-aspectos-de-la-teoria-de-h-pares-de-jordan","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-h-sistemas-triples-de-lie-aspectos-de-la-teoria-de-h-pares-de-jordan\/","title":{"rendered":"Sobre h*-sistemas triples de lie. aspectos de la teoria de h*-pares de jordan."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Antonio  Jes\u00fas Calderon Martin <\/strong><\/h2>\n<p>En esta tesis se demuestra que para un h*-sistema triple de lie topol\u00f3gicamente simple t (siempre en ambiente complejo) son equivalentes las siguientes afirmaciones: 1) t es parte impar de una l*-\u00e1lgebra dos-graduada topol\u00f3gicamente simple.  2) t es l\u00edmite inductivo (en sentido h*) de un sistema directo de h*-sistemas triples de lie simples y de dimensi\u00f3n finita.  3) t es un h*-subsistema de a-siendo a una h*-\u00e1lgebra ternaria.  adem\u00e1s, se da una clasificaci\u00f3n exhaustiva de dichos h*-sistemas triples. La t\u00e9cnica utilizada para parte de las demostraciones es la clasificaci\u00f3n de las l*-\u00e1lgebras dos- graduadas topol\u00f3gicamente simples.  se introducen tambi\u00e9n las nociones de h*-subtriple de cartan y de descomposici\u00f3n de cartan. Se determinan descomposiciones de cartan para los sistemas triples de lie finito-dimensionales y simples de tipo no excepcional, y se estudia la relaci\u00f3n existente entre determinados tipos de sistemas directos de h*-triples de lie de dimensi\u00f3n finita y los sistemas directos de l*-\u00e1lgebra dos-graduadas asociados a las envolventes 2-graduadas de dichos h*-triples.  finalmente, en el \u00faltimo cap\u00edtulo se estudia el problema de la construcci\u00f3n de una h*-estructura sobre un par asociativo a una vez que se sabe que su simetrizado aj soporta una estructura de h*-par topol\u00f3gicamente simple. Tambi\u00e9n se refina este resultado en el sentido de construir sobre a una h*-estructura, sabiendo que sym(a, ) (o bien skw(a, )) es de hecho un h*-par topol\u00f3gicamente simple.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre h*-sistemas triples de lie. aspectos de la teoria de h*-pares de jordan.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre h*-sistemas triples de lie. aspectos de la teoria de h*-pares de jordan. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Antonio  Jes\u00fas Calderon Martin <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 M\u00e1laga<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1999<\/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>Alberto Castellon Serrano<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: alberto Elduque palomo <\/li>\n<li>amable Garcia martin (vocal)<\/li>\n<li>dolores Martin barquero (vocal)<\/li>\n<li>armando Villena mu\u00f1oz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Antonio Jes\u00fas Calderon Martin En esta tesis se demuestra que para un h*-sistema triple de lie topol\u00f3gicamente [&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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