{"id":73807,"date":"2018-03-09T23:18:45","date_gmt":"2018-03-09T23:18:45","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/subalgebras-maximales-de-superalgebras-asociativas-y-de-jordan\/"},"modified":"2018-03-09T23:18:45","modified_gmt":"2018-03-09T23:18:45","slug":"subalgebras-maximales-de-superalgebras-asociativas-y-de-jordan","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/subalgebras-maximales-de-superalgebras-asociativas-y-de-jordan\/","title":{"rendered":"Sub\u00e1lgebras maximales de super\u00e1lgebras asociativas y de jordan"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Sara Sacrist\u00e1n Tob\u00edas <\/strong><\/h2>\n<p>En la l\u00ednea de trabajos anteriores de e. Dynkin (en 1952) para \u00e1lgebras y grupos de lie, y de m. Racine (en 1974) y a. Elduque (en 1984) para \u00e1lgebras simples  asociativas, alternativas, de jordan y de malcev, en esta memoria de tesis se estudian las sub\u00e1lgebras maximales de ciertas estructuras algebraicas a las que en f\u00edsica se denominaron y se siguen llamando super\u00e1lgebras (surgieron con la teor\u00eda de unificaci\u00f3n f\u00edsica conocida como supersimetr\u00eda). Una super\u00e1lgebra es un \u00e1lgebra z2 graduada.  el objetivo final planteado es el de clasificar las sub\u00e1lgebras maximales de super\u00e1lgbras de jordan simples finito dimensionales. Una super\u00e1lgebra de jordan no es un \u00e1lgebra de jordan graduada sobre z2 . Se puede definir en t\u00e9rminos de identidades graduadas o diciendo que es un super\u00e1lgebra tal que su envolvente de grassmann es un \u00e1lgebra de jordan.  como varios de los tipos de super\u00e1lgebras de jordan simples finito dimensionales provienen de super\u00e1lgebra asociativas (estas s\u00ed son \u00e1lgebras asociativas z2  graduadas  sin m\u00e1s), se necesita clasificar en primer lugar las sub\u00e1lgebras maximales de super\u00e1lgebras simples finito dimensionales y de super\u00e1lgebras asociativas simples finito dimensionales con superinvoluci\u00f3n. Este hecho se consigue completamente, no as\u00ed en el caso de jordan donde algunas situaciones quedan abiertas.  en el transcurso de este trabajo se obtienen otros resultados como el referente al estudio del grupo de automorfismos de la super\u00e1lgebra de jordan simple llamada de kac.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sub\u00e1lgebras maximales de super\u00e1lgebras asociativas y de jordan<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sub\u00e1lgebras maximales de super\u00e1lgebras asociativas y de jordan <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Sara Sacrist\u00e1n Tob\u00edas <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rioja<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/04\/2005<\/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> Laliena Clemente Jes\u00fas Antonio<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: consuelo Mart\u00ednez l\u00f3pez <\/li>\n<li> Benito clavijo M\u00aa del pilar (vocal)<\/li>\n<li>Fernando Fern\u00e1ndez l\u00f3pez (vocal)<\/li>\n<li>Fernando Montaner frutos (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sara Sacrist\u00e1n Tob\u00edas En la l\u00ednea de trabajos anteriores de e. Dynkin (en 1952) para \u00e1lgebras 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 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":[2809,36884,4335,126,18890],"tags":[160126,12505,91759,39388,42618,160125],"class_list":["post-73807","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebras-no-asociativas","category-campos-anillos-y-algebras","category-matematicas","category-rioja","tag-benito-clavijo-ma-del-pilar","tag-consuelo-Martinez-lopez","tag-fernando-fernandez-lopez","tag-fernando-montaner-frutos","tag-laliena-clemente-jesus-antonio","tag-sara-sacristan-tobias"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/73807","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=73807"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/73807\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=73807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=73807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=73807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}