{"id":129317,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/el-grupo-de-automorfismos-y-el-grupo-de-picard-de-un-algebra-finitodimensional\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"el-grupo-de-automorfismos-y-el-grupo-de-picard-de-un-algebra-finitodimensional","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/el-grupo-de-automorfismos-y-el-grupo-de-picard-de-un-algebra-finitodimensional\/","title":{"rendered":"El grupo de automorfismos y el grupo de picard de un algebra finitodimensional."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco De Asis Guil Asensio <\/strong><\/h2>\n<p>En la memoria se aborda el estudio tanto del grupo de automorfismos como del grupo de picard de un algebra finito-dimensional sobre un cuerpo algebraicamente cerrado de caracteristica cero. Los problemas principales considerados son la construccion de dichos grupos y la relacion existente entre sus estructuras y la del algebra considerada. El enfoque utilizado es la construccion de una serie de sucesiones exactas de grupos que reducen el problema a identificar unos subgrupos destacados de aut(a). Usando como herramientas fundamentales la teoria de representacion de algebras finito-dimensionales y la teoria de grupos algebraicos, se consigue una identificacion completa de ambos grupos cuando el algebra considerada es monomial y su quiver asociado es aciclico.  asi mismo se obtiene una identificacion parcial de dicho grupos asi como un estudio de algunas de sus propiedades en el caso en que el algebra es local y conmutativa con dim j\/j2 igual a 2. Por otra parte se obtienen simplificaciones y mejoras de algunos resultados que habian aparecido en varios trabajos anteriores debidos a varios autores.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>El grupo de automorfismos y el grupo de picard de un algebra finitodimensional.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 El grupo de automorfismos y el grupo de picard de un algebra finitodimensional. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco De Asis Guil Asensio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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>Manuel Saorin Casta\u00f1o<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gomez Pardo Jos\u00e9 Luis <\/li>\n<li>Kenneth Goodearl (vocal)<\/li>\n<li>Nieves Rodriguez Gonzalez (vocal)<\/li>\n<li>Birge Zimmerman-huisgen (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco De Asis Guil Asensio En la memoria se aborda el estudio tanto del grupo de automorfismos [&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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