{"id":69811,"date":"2004-03-09T00:00:00","date_gmt":"2004-03-09T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/graduaciones-naturales-de-algebras-de-leibniz\/"},"modified":"2004-03-09T00:00:00","modified_gmt":"2004-03-09T00:00:00","slug":"graduaciones-naturales-de-algebras-de-leibniz","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sevilla\/graduaciones-naturales-de-algebras-de-leibniz\/","title":{"rendered":"Graduaciones naturales de \u00e1lgebras de leibniz"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gonz\u00e1lez Rega\u00f1a Alfonso Jos\u00e9 <\/strong><\/h2>\n<p>Las \u00e1lgebras de leibniz fueron introducidas por loday hace apenas una d\u00e9cada y constituyen, en un cierto sentido, una generalizaci\u00f3n de las \u00e1lgebras de lie en cuanto que se suprime de la definici\u00f3n de estas \u00faltimas de antisimetr\u00eda.  cuando se considera la filtraci\u00f3n natural que produce la sucesi\u00f3n central descendente de una \u00e1lgebra de leibniz nilpotentes l, se obtiene un \u00e1lgebra graduada finita que, en cierto modo, constituye la estructura b\u00e1sica del \u00e1lgebra que se considera y que, cuando es isomorfa a l, se dice que est\u00e1 graduada naturalmente.  un \u00e1lgebra de leibniz de dimensi\u00f3n n se dice p-filiforme si su sucesi\u00f3n caracter\u00edstica es (n-p,1,..,1). La clasificaci\u00f3n de las \u00e1lgebras de lebiniz graduadas naturalmente en dimensi\u00f3n arbitraria se conoce en los casos nulifiliforme (\u00f3 0-filiforme) y 1-filiforme.  en este trabajo se obtiene la clasificaci\u00f3n completa de las \u00e1lgebras de leibniz de leibniz 2-filiformes y 3-filiformes graduadas naturalmente, en dimensi\u00f3n arbitraria finita n, para n mayor o igual 8.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Graduaciones naturales de \u00e1lgebras de leibniz<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Graduaciones naturales de \u00e1lgebras de leibniz <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gonz\u00e1lez Rega\u00f1a Alfonso Jos\u00e9 <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 03\/09\/2004<\/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>Luisa Mar\u00eda Camacho Santana<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Juan  gabriel Tena ayuso <\/li>\n<li>Alberto M\u00e1rquez p\u00e9rez (vocal)<\/li>\n<li> M\u00e1rquez ayuso Juan  gabriel (vocal)<\/li>\n<li>francisca Blanco mart\u00edn (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gonz\u00e1lez Rega\u00f1a Alfonso Jos\u00e9 Las \u00e1lgebras de leibniz fueron introducidas por loday hace apenas una d\u00e9cada y [&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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