{"id":81404,"date":"2018-03-10T00:05:18","date_gmt":"2018-03-10T00:05:18","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/representacions-homotopiques-de-grups-p-compactes\/"},"modified":"2018-03-10T00:05:18","modified_gmt":"2018-03-10T00:05:18","slug":"representacions-homotopiques-de-grups-p-compactes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/representacions-homotopiques-de-grups-p-compactes\/","title":{"rendered":"Representacions homotopiques de grups p-compactes."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Natalia Castellana Vila <\/strong><\/h2>\n<p>La nocion de grupo de lie fue introducida el siglo pasado y desde entonces su estudio ha sido una de las grandes lineas de investigacion en matematicas. con el estudio de su homolog\u00eda y cohomolog\u00eda, se inicio en los a\u00f1os treinta el programa para entender estos objetos desde el punto de vista homot\u00f3pico que condujo a la consideracion de sus generalizaciones homotopicas.  los grupos p-compactos han demostrado ser las generalizaciones idoneas. son versiones p-locales de espacios de lazos finitos. La principal linea de investigacion de grupos p-compactos consiste en obtener propiedades de los grupos de lie para grupos p-compactos a traves de su interpretacion homotopica. Siguiendo esta idea, jeanneret y osse demuestran el teorema de atiyah-segal de calculo de la teoria k compleja para grupos p-compactos y plantean la siguiente questi\u00f3n:\u00c2\u00bftodo grupo p-compacto admite un monomorfismo en un grupo unitario?  en este trabajo respondemos afirmativamente a esta pregunta mediante la descripci\u00f3n explicita de monomorfismos de grupos p-compactos exoticos en grupos unitarios generalizando la representacion adjunta. Es bien conocido que todo grupo de lie compacto admite un monomorfismo en un grupo unitario.  adem\u00e1s,describimos la factoracion de estos monomofismos a traves de otros grupos p-compactos como son las grassmannianas infinitas generalizadas. la existencia de estos monomorfismos es debida a la descripci\u00f3n que damos de la grassmannianas infinitas generalizadas como puntos fijos homotopicos de operaciones inestables de adams actuando en grupos unitarios.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Representacions homotopiques de grups p-compactes.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Representacions homotopiques de grups p-compactes. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Natalia Castellana Vila <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/11\/1999<\/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>Carlos Broto Blanco<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jaume Aguad\u00e9 bover <\/li>\n<li>mamoru Mimura (vocal)<\/li>\n<li>r. Oliver robert (vocal)<\/li>\n<li> Viruel arbaizar Antonio  a. (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Natalia Castellana Vila La nocion de grupo de lie fue introducida el siglo pasado y desde entonces [&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":[584,21062,38932,126,585],"tags":[107307,38934,173717,173716,173718,173719],"class_list":["post-81404","post","type-post","status-publish","format-standard","hentry","category-cohomologia","category-grupos-de-lie","category-grupos-topologicos","category-matematicas","category-topologia","tag-carlos-broto-blanco","tag-jaume-aguade-bover","tag-mamoru-mimura","tag-natalia-castellana-vila","tag-r-oliver-robert","tag-viruel-arbaizar-antonio-a"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/81404","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=81404"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/81404\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=81404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=81404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=81404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}