{"id":7407,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/estudio-de-dos-invariantes-en-algebras-de-lie-filiformes-complejas-y-clasificacion-a-partir-de-estos\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"estudio-de-dos-invariantes-en-algebras-de-lie-filiformes-complejas-y-clasificacion-a-partir-de-estos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estudio-de-dos-invariantes-en-algebras-de-lie-filiformes-complejas-y-clasificacion-a-partir-de-estos\/","title":{"rendered":"Estudio de dos invariantes en algebras de lie filiformes complejas y clasificacion a partir de estos."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Ramirez Lopez <\/strong><\/h2>\n<p>En las algebras de lie filiformes complejas se estudian de manera detallada los subindices definidos por: i = , que es equivalente a i = inf es conmutativo), que es equivalente a j = inf              , dos invariantes respecto de bases adaptadas, y se prueban algunas de sus propiedades. Demostramos que toda algebra de lie filiforme compleja no modelo, tiene un producto principal, demostramos que: 4                , tambien demostramos que un algebra de lie filiforme compleja esta definida si se conocen los productos (       )  ( ) e introducimos el concepto de algebras cortadas para probar que ciertas algebras no son isomorfas entre si.  estos invariantes van a permitirnos realizar la clasificacion de las algebras de lie filiformes complejas atendiendo a la terna (i, j, n), donde i, j son los invariantes mencionados y n la dimension del algebra.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio de dos invariantes en algebras de lie filiformes complejas y clasificacion a partir de estos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio de dos invariantes en algebras de lie filiformes complejas y clasificacion a partir de estos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Ramirez Lopez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1995<\/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> Echarte Reula Francisco Javier<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Vicente Varea Agudo <\/li>\n<li>Francisco Jimenez Alcon (vocal)<\/li>\n<li>Michel Goze (vocal)<\/li>\n<li>Iousoupdjan Khakimedjanov (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Ramirez Lopez En las algebras de lie filiformes complejas se estudian de manera detallada los subindices [&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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