{"id":89043,"date":"2018-03-10T00:14:07","date_gmt":"2018-03-10T00:14:07","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/espacios-homogeneos-reductivos-y-algebras-no-asociativas\/"},"modified":"2018-03-10T00:14:07","modified_gmt":"2018-03-10T00:14:07","slug":"espacios-homogeneos-reductivos-y-algebras-no-asociativas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/espacios-homogeneos-reductivos-y-algebras-no-asociativas\/","title":{"rendered":"Espacios homogeneos reductivos y algebras no asociativas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Cristina Draper Fontanals <\/strong><\/h2>\n<p>El conocido vinculo entre geometria y algebra (el de los grupos de lie con sus algebras tangentes) proporciona una relacion no tan conocida entre los espacios homogeneos reductivos y los sistemas triples de lie generales o algebras triples de lie, una generalizacion de la estructura de sistema triple de lie, correspondiente a traves de la relacion anterior con los espacios simetricos. A su vez las conexiones afines invariantes, relacionadas con la posibilidad de derivar direccionalmente en dichos espacios homogeneos, se corresponden a traves del teorema de nomizu (1954) con las estructuras de algebra (no asociativa) en el espacio tangente con cierta subalgebra prefijada de su algebra de derivaciones.  en esta tesis se estudian las conexiones afines invariantes en los espacios simetricos( que resultan estar estrechamente relacionadas con las algebras de jordan) y en los espacios homogeneos del grupo de lie simple excepcional g2, las algebras no asociativas asociadas y algunas de sus aplicaciones geometricas, en un contexto ampliado del geometrico.  ello requiere clasificar las subalgebras reductivas no abelianas de g2, describiendo los pares reductivos y por tanto,ejemplos de sistemas triples de lie generales, con vistas a iniciar un estudio de dicha estructura.  ademas las descomposiciones sugieren nuevas costrucciones del algebra de cayley o de octoniones y de su algebra de derivaciones o algebra simple central de tipo g2.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Espacios homogeneos reductivos y algebras no asociativas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Espacios homogeneos reductivos y algebras no asociativas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Cristina Draper Fontanals <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rioja<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 23\/02\/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>Alberto Elduque Palomo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: P. Chestakov Ivan <\/li>\n<li>Candido Martin Gonzalez (vocal)<\/li>\n<li>Consuelo Martinez Lopez (vocal)<\/li>\n<li> Laliena Clemente Jes\u00fas Antonio (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Cristina Draper Fontanals El conocido vinculo entre geometria y algebra (el de los grupos de lie con [&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":[2809,36884,583,126,18890],"tags":[61870,46517,12505,185500,42618,185501],"class_list":["post-89043","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebras-no-asociativas","category-geometria","category-matematicas","category-rioja","tag-alberto-elduque-palomo","tag-candido-martin-gonzalez","tag-consuelo-Martinez-lopez","tag-cristina-draper-fontanals","tag-laliena-clemente-jesus-antonio","tag-p-chestakov-ivan"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/89043","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=89043"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/89043\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=89043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=89043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=89043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}