{"id":129637,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teoria-de-jets-de-weil-y-pseudogrupos-de-lie\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"teoria-de-jets-de-weil-y-pseudogrupos-de-lie","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/teoria-de-jets-de-weil-y-pseudogrupos-de-lie\/","title":{"rendered":"Teoria de jets de weil y pseudogrupos de lie"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Muriel Duran Francisco Javier <\/strong><\/h2>\n<p>En esta memoria se da una nueva version de la teoria de las ecuaciones de lie y de los invariantes diferenciales.  el punto de partida es la nocion de jet, como ideal del anillo de funciones difernciables de una variedad, nucleo de un punto proximo de weil.  esto da una nocion intrinseca de prolongacion, sin cambiar el anillo de funciones, haciendo que estas, sobre los jets, valoren en ciertas algebras locales; en particular se obtiene la prolongacion usando derivaciones formales. La interpretacion de un k-jet de campo tangente como derivacion sobre el anillo de funciones establece la correpondencia entre los sistemas lineales y no-lineales de lie, el isomorfismo entre sus simbolos, y su conservacion por prolongacion. Ademas se prueba la equiValencia entre la integrabilidad formal de ambos sistemas. Se define la i-forma canonica de cartan en los k-jets invertibles, y se da forma global a la caracterizacion de cartan de los pseudogrupos de lie. De modo breve y directo se desarrolla la teoria general de los invariantes diferenciales de un haz de algebras de lie, se demuestra el teorema de finitud, y se pone de manifiesto la relacion de las presentaciones de tresse y kumpera con las ideas de lie, que quedan completamente formalizadas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teoria de jets de weil y pseudogrupos de lie<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teoria de jets de weil y pseudogrupos de lie <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Muriel Duran Francisco Javier <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Salamanca<\/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>Jes\u00fas Mu\u00f1oz D\u00edaz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Garcia Perez Pedro Luis <\/li>\n<li>Pascual Cutilla Ripoll (vocal)<\/li>\n<li>Joaquim M\u00aa. Ortega Aramburu (vocal)<\/li>\n<li>Ceferino Ruiz Garrido (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Muriel Duran Francisco Javier En esta memoria se da una nueva version de la teoria de las [&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":[2809,26590,3183,126,9386],"tags":[7534,7713,57415,57418,243059,243060],"class_list":["post-129637","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-de-lie","category-analisis-y-analisis-funcional","category-matematicas","category-salamanca","tag-ceferino-ruiz-garrido","tag-garcia-perez-pedro-luis","tag-jesus-munoz-diaz","tag-joaquim-ma-ortega-aramburu","tag-muriel-duran-francisco-javier","tag-pascual-cutilla-ripoll"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/129637","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=129637"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/129637\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=129637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=129637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=129637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}