{"id":11220,"date":"2001-09-06T00:00:00","date_gmt":"2001-09-06T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/graduaciones-naturales-de-algebras-de-lie-3-filiformes\/"},"modified":"2001-09-06T00:00:00","modified_gmt":"2001-09-06T00:00:00","slug":"graduaciones-naturales-de-algebras-de-lie-3-filiformes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/graduaciones-naturales-de-algebras-de-lie-3-filiformes\/","title":{"rendered":"Graduaciones naturales de algebras de lie 3-filiformes"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Emilia Pastor Sahagun <\/strong><\/h2>\n<p>En la memoria de titulo \u00abgraduaciones naturales de algebras de lie 3-filiformes\u00bb se presentan algunos resultados algebraicos sobre clasificaci\u00f3n de familias de algebras de lie nilpotentes en dimension cualquiera, junto a algunas aplicaciones geometricas.  cuando se considera la filtraci\u00f3n natural que produce la sucesion central descendente de un algebra de lie nilpotente g, se obtiene un algebra graduado finita que, en cierto modo, constituye la estructura basica del algebra que se considera y que, cuando es isomorfa a g, se dice que esta graduada naturalmente.  un algebra de lie de dimension n se dice p-filiforme si su invariante de goze es (n-p,1,&#8230;1). La clasificacion de las algebras de lie graduadas naturalmente en dimension arbitraria se conoce en los casos filiforme y casifiliforme (esto es, las 1-filiformes y 2-filiformes respectivamente).  en este trabajo se obtiene la clasificaci\u00f3n completa de las algebras de lie 3-filiformes graduadas naturalmente en dimension arbitraria y se estudian algunas aplicaciones geom\u00e9tricas. En concreto, via el algebra de derivaciones, se describe el primer espacio de cohomolog\u00eda y se halla la dimension de las \u00f3rbitas para cada algebra 3-filiforme graduada naturalmente.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Graduaciones naturales de algebras de lie 3-filiformes<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Graduaciones naturales de algebras de lie 3-filiformes <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Emilia Pastor Sahagun <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/06\/2001<\/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>Jos\u00e9 Ramon Gomez Martin<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: santos Gonzalez jimenez <\/li>\n<li> Ancochea bermudez Jos\u00e9 Mar\u00eda (vocal)<\/li>\n<li>consuelo Martinez lopez (vocal)<\/li>\n<li>michel Goze (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Emilia Pastor Sahagun En la memoria de titulo \u00abgraduaciones naturales de algebras de lie 3-filiformes\u00bb se presentan [&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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