{"id":14374,"date":"2001-11-12T00:00:00","date_gmt":"2001-11-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/superalgebras-de-lie-nilpotentes\/"},"modified":"2001-11-12T00:00:00","modified_gmt":"2001-11-12T00:00:00","slug":"superalgebras-de-lie-nilpotentes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/superalgebras-de-lie-nilpotentes\/","title":{"rendered":"Super\u00e1lgebras de lie nilpotentes"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Navarro Olmo Rosa M. <\/strong><\/h2>\n<p>En este trabajos e aborda el estudio de las super\u00e1lgebras de lie nilpotentes, resolviendo diversos problemas y planteando otros.  el primer problema que se trata es el de la determinaci\u00f3n del nil\u00edndice maximal, probando que se alcanza el m\u00e1ximo posible en determinados casos, pero que no es posible hacerlo siempre. En particular, se refuta la conjetura de que toda super\u00e1lgebra de lie de nil\u00edndice maximal es filiforme.  otro problema importante que se estudia es el de la determinaci\u00f3n de bases \u00absuficientemente buenas\u00bb (a las que se denominan bases adaptadas). el conocimiento de estas bases permite obtener resultados te\u00f3ricos en el caso de super\u00e1lgebras de lie con nil\u00edndice elevado y sirve de base para la clasificaci\u00f3n expl\u00edcita de familias de super\u00e1lgebras de lie de nil\u00edndice peque\u00f1o.  en particular, se dan clasificaciones expl\u00edcitas en dimensi\u00f3n arbitraria de familias de super\u00e1lgebras de lie nilpotentes que generalizan, en cierto sentido, a las \u00e1lgebreas de heisenberg. Se clasifican familias de super\u00e1lgebras de lie nilpotentes en dimensi\u00f3n cualquiera.  se estudian tambi\u00e9n propiedades geom\u00e9tricas a partir de las correspondientes super\u00e1lgebras de derivaciones.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Super\u00e1lgebras de lie nilpotentes<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Super\u00e1lgebras de lie nilpotentes <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Navarro Olmo Rosa M. <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/12\/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: alberto M\u00e1rquez p\u00e9rez <\/li>\n<li>Francisco Jes\u00fas Castro jim\u00e9nez (vocal)<\/li>\n<li> Cabezas mart\u00ednez de arag\u00f3n Jes\u00fas Mar\u00eda (vocal)<\/li>\n<li>yusupdjan Khakimdjanov (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Navarro Olmo Rosa M. En este trabajos e aborda el estudio de las super\u00e1lgebras de lie nilpotentes, [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,26590,36884,126,10715],"tags":[10831,46294,37759,26592,46293,46295],"class_list":["post-14374","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-de-lie","category-algebras-no-asociativas","category-matematicas","category-sevilla","tag-alberto-marquez-perez","tag-cabezas-Martinez-de-aragon-jesus-maria","tag-francisco-jesus-castro-jimenez","tag-jose-ramon-gomez-martin","tag-navarro-olmo-rosa-m","tag-yusupdjan-khakimdjanov"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/14374","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=14374"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/14374\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=14374"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=14374"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=14374"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}