{"id":129101,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/productos-estrella-y-ecuacion-cuantica-triangular-de-yang-baxter\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"productos-estrella-y-ecuacion-cuantica-triangular-de-yang-baxter","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/productos-estrella-y-ecuacion-cuantica-triangular-de-yang-baxter\/","title":{"rendered":"Productos estrella y ecuacion cuantica triangular de yang-baxter."},"content":{"rendered":"

Tesis doctoral de Luis Valero Burguete <\/strong><\/h2>\n

Se demuestran teoremas enunciados por v.G. Drinfeld sobre la relacion entre la ecuacion cuantica triangular de yang-baxter (ectyb) y los productos estrella invariantes sobre un grupo de lie g con estructura de poisson invariante. se enuncia y prueba un teorema basico que pone de manifiesto el contenido cohomologico de la ectyb. La obstruccion a la prolongacion al orden k+1 de un producto estrella invariante f(x;y) al orden k, es la clase de cohomolog\u00eda (invariante de hochschild) correspondiente al termino de orden k+1 de la ectyb construida a partir de s(x;y)=f-1(y;x)f(x;y). se hace explicita la construccion de v.G. Drinfeld de un producto estrella invariante sobre un grupo de lie g con estructura simplectica invariante beta1, a partir de un 2-cociclo beta h= beta 1+beta 2 h+beta 3 h2 + … Del algebra de lie de g. Se muestra que corresponde a una generalizacion del procedimiento para obtener un producto de moyal sobre (r2(; beta1) a partir de la ley de grupo formal del campbell-hausdorff del algebra de lie de g. haciendo uso del teorema sobre el contenido cohomologico de la ectyb, se demuestra que todo producto estrella invariante sobre (g; beta 1) es equivalente a uno obtenido por el procedimiento anterior a partir de un 2-cociclo beta h. Se estudia la equiValencia entre productos estrella definidos por cociclos en la misma clase de cohomolog\u00eda de hochschild. tambien se estudian las nociones de grupo de lie-poisson, bialgebra de lie y matriz-r clasica, poniendose de manifiesto la relacion entre estas ultimas y las bialgebras de lie exactas. en particular se demuestran los resultados enunciados por semenov-tian-shansky que se refieren a la existencia de soluciones, por el metodo de factorizacion, de las ecuaciones del movimiento, en el caso de hamiltonianos de casimir con respecto a la estructura de poisson que sobre el dual g* define una solucion de la ecuacion modificada de yang-baxter y en el caso de hamiltonianos c<\/p>\n

 <\/p>\n

Datos acad\u00e9micos de la tesis doctoral \u00abProductos estrella y ecuacion cuantica triangular de yang-baxter.<\/strong>\u00ab<\/h3>\n
    \n
  • T\u00edtulo de la tesis:<\/strong>\u00a0 Productos estrella y ecuacion cuantica triangular de yang-baxter. <\/li>\n
  • Autor:<\/strong>\u00a0 Luis Valero Burguete <\/li>\n
  • Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n
  • Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/li>\n<\/ul>\n

     <\/p>\n

    Direcci\u00f3n y tribunal<\/h3>\n
      \n
    • Director de la tesis<\/strong>\n
        \n
      • Moreno Gonzalez Jos\u00e9 Carlos<\/li>\n<\/ul>\n<\/li>\n
      • Tribunal<\/strong>\n
          \n
        • Presidente del tribunal: Alberto Galindo Tixaire <\/li>\n
        • Azcarraga Feliu Jos\u00e9 Adolfo (vocal)<\/li>\n
        • Alain Guichardet (vocal)<\/li>\n
        • Ram\u00f3n Fern\u00e1ndez \u00e1lvarez-estrada (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

           <\/p>\n","protected":false},"excerpt":{"rendered":"

          Tesis doctoral de Luis Valero Burguete Se demuestran teoremas enunciados por v.G. Drinfeld sobre la relacion entre la ecuacion cuantica […]<\/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":[2809,26590,986,199,1432,126],"tags":[242483,5769,6176,242482,48172,7439],"class_list":["post-129101","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-de-lie","category-complutense-de-madrid","category-fisica","category-fisica-teorica","category-matematicas","tag-alain-guichardet","tag-alberto-galindo-tixaire","tag-azcarraga-feliu-jose-adolfo","tag-luis-valero-burguete","tag-moreno-gonzalez-jose-carlos","tag-ramon-fernandez-alvarez-estrada"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/129101","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=129101"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/129101\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=129101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=129101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=129101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}