{"id":86712,"date":"2018-03-10T00:11:20","date_gmt":"2018-03-10T00:11:20","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algebras-de-lie-caracteristicamente-nilpotentes\/"},"modified":"2018-03-10T00:11:20","modified_gmt":"2018-03-10T00:11:20","slug":"algebras-de-lie-caracteristicamente-nilpotentes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algebras-de-lie-caracteristicamente-nilpotentes\/","title":{"rendered":"Algebras de lie caracteristicamente nilpotentes"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Rutwig Campoamor Stursberg <\/strong><\/h2>\n<p>En esta memoria se presenta, adem\u00e1s del refinamiento de ciertos resultados cl\u00e1sicos relativos a las \u00e1lgebras de lie nilpotentes, una teor\u00eda basada en t\u00e9cnicas cohomol\u00f3gicas que supone un interesante avance de la teor\u00eda de \u00e1lgebras caracter\u00edsticamente nilpotentes. Entre los resultados cl\u00e1sicos se prueba la no apertura de \u00e9stas \u00e1lgebras en la variedad, generalizando as\u00ed a dimensi\u00f3n arbitraria el resultado conocido para dimensi\u00f3n site. Por ora parte, se da una respuesta afirmativa a una cuesti\u00f3na bierta desde los a\u00f1os sesenta, relativa a la existencia de \u00e1lgebras de lie de derivaciones caracter\u00edsticamente nilpotentes.  se describe y clasifica una clase especial de \u00e1lgebras fe lie nilpotentes, llamadas de tipo qn y caracterizadas por una cierta propiedad de conmutatividad relativa a los ideales de la sucesi\u00f3n central descendente. Se demuestra que salvo una excepci\u00f3n, \u00e9stas \u00e1lgebras son una generalizaci\u00f3n natural de las \u00e1lgebras de lie filiformes naturalemente graduadas. Adem\u00e1s, las extensiones centrales de grado uno de estos modleos est\u00e1n caracterizadas por la k-abelianidad del \u00e1lgebra. Mediante la descripci\u00f3n de ciertos subespacios de la cohomolog\u00eda graduada h2 (g,g) asociada a cada modelo g, se construyen deformaciones caracter\u00edsticamente nilpotentes que son compatibles con determinados operadores definidos entre los distintos modelos, as\u00ed como las externisones centrales de grado uno de \u00e9stos. De este modo se describen familias de \u00e1lgebras de lie caracter\u00edsticamente nilpotentes en cualquier dimensi\u00f3n.  asimismo se dan aplicaciones de estos m\u00e9todos a la teor\u00eda de la rigidez, ampliando ciertos resultados cl\u00e1sicos conocidos mediante la construcci\u00f3n de extensione sy deformaciones de leyes no filiformes isomorgas al nilradical de una ley resoluble r\u00edgida de dimensi\u00f3n arbitraria.  en los ap\u00e9ndices se clasifican las \u00e1lgebras p-filiformes para los valores p= n-4,n -5, hecho que permite obtener nuevas f<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algebras de lie caracteristicamente nilpotentes<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algebras de lie caracteristicamente nilpotentes <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Rutwig Campoamor Stursberg <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 30\/09\/2000<\/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> Ancochea Bermudez Jos\u00e9 M.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gamoba mutuberria Jos\u00e9 manuel <\/li>\n<li> Vara agudo vicente ramon (vocal)<\/li>\n<li>michel Goze (vocal)<\/li>\n<li>Jaime Mu\u00f1oz masque (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rutwig Campoamor Stursberg En esta memoria se presenta, adem\u00e1s del refinamiento de ciertos resultados cl\u00e1sicos relativos a [&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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