{"id":1253,"date":"2018-03-15T13:08:50","date_gmt":"2018-03-15T12:08:50","guid":{"rendered":"https:\/\/www.pmfst.unist.hr\/znanost\/?p=1253"},"modified":"2021-11-16T08:51:33","modified_gmt":"2021-11-16T07:51:33","slug":"grupa-za-reprezentacije-verteks-algebri","status":"publish","type":"post","link":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/","title":{"rendered":"Reprezentacije verteks algebri"},"content":{"rendered":"
[vc_row][vc_column][mk_title_box color=”#1e73be” font_family=”none”]Odjel\/Katedra:\u00a0<\/strong>Odjel za matematiku[\/mk_title_box][\/vc_column][\/vc_row][vc_row][vc_column width=”1\/4″][mk_employees style=”classic” column=”1″ employees=”11931″][vc_column_text css=”.vc_custom_1520591816036{margin-bottom: 0px !important;}”]\n– prof.dr.sc. Dra\u017een Adamovi\u0107, PMF Zagreb, matemati\u010dki odsjek<\/p>\n[\/vc_column_text][vc_column_text css=”.vc_custom_1526454617369{margin-bottom: 0px !important;}”]- Iva \u0106u\u017ee, mag.edu.mat, FPMOZ Mostar
\n[\/vc_column_text][\/vc_column][vc_column width=”3\/4″][vc_column_text css=”.vc_custom_1526456417552{margin-bottom: 0px !important;}”]\n

Podru\u010dje istra\u017eivanja:<\/h4>\n

– Reprezentacije beskona\u010dnodimenzionalnih Liejevih algebri
\n– Free field realizacije i pravila fuzije za verteks algebre i njihove modula
\n– W-algebre[\/vc_column_text][vc_column_text css=”.vc_custom_1526456457361{margin-bottom: 0px !important;}”]\n

Opis istra\u017eivanja:<\/h4>\n

U sklopu HRZZ projekta 2634 Algebarske i kombinatorne metode u teoriji verteks algebri i Znanstvenog Centra Izvrsnosti QuantiXLie, istra\u017euju se nove metode u teoriji verteks algebri i teoriji reprezentacija beskona\u010dno dimenzionalnih Liejevih algebri. Istra\u017eujemo neke va\u017ene klase verteks algebri poput W-algebri koje su povezane s logaritamskom konformnom teorijom polja u fizici. Izme\u0111u ostalog, koristimo free field realizacije te screening operatore pomo\u0107u kojih se realiziraju verteks algebre i njihovi moduli. Konstruiramo operatore prepletanja i ra\u010dunamo pravila fuzije u kategorijama modula za neke algebre Virasorovog tipa (Heisenberg-Virasorova i W(2,2) algebra). Nadalje, istra\u017eujemo vezu teorije reprezentacija nekih iracionalnih C2-kofinitnih verteks algebri s teorijom kvantnih grupa.[\/vc_column_text][vc_column_text css=”.vc_custom_1521115826584{margin-bottom: 0px !important;}”]\n

Planovi budu\u0107ih istra\u017eivanja:<\/h4>\n

Nastavit \u0107emo prethodna istra\u017eivanja te ih primijeniti prethodna istra\u017eivanja u logaritamskoj teoriji polja. Posvetiti se novim spoznajama koje dolaze iz fizike i za njih razvijati matemati\u010dke metode.[\/vc_column_text][vc_column_text css=”.vc_custom_1637049093820{margin-bottom: 0px !important;}”]\n

POPIS ODABRANIH ZNANSTVENIH RADOVA:<\/h4>\n
    \n
  • Adamovi\u0107, D., Jandri\u0107, B., Radobolja, G., (2021). The N = 1 super Heisenberg-Virasoro vertex algebra al level zero, J. Algebra Appl. 171-JAA, 2350003, 26<\/li>\n
  • Radobolja, G., (2021). Galilean W_3 algebra, J. Math. Phys. 62 (8), 27 pages<\/li>\n
  • Adamovi\u0107, D., Jandri\u0107, B., Radobolja, G., (2021). On the N = 1 super Heisenberg-Virasoro vertex algebra, Contemp. Math. 768, 167-178<\/li>\n
  • Adamovic, D., Radobolja, G., (2019). Self-dual and logarithmic representations of the twisted Heisenberg\u2013Virasoro algebra at level zero, Commun. Contemp. Math. 21 (2) 1850008, 25 pages<\/li>\n
  • Adamovic, D., Radobolja, G., (2016). On free field realizations of W(2,2)-modules. SIGMA, 12 (2016) 113, 13 pages.<\/li>\n
  • Adamovic, D., Radobolja, G., (2015). Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications. J. of Pure and Applied Algebra, 219 (10), 4322-4342.<\/li>\n
  • Radobolja, G., (2013). Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W (2, 2) algebra. J. of Mathematical Physics 54 (7), 071701<\/li>\n<\/ul>\n[\/vc_column_text][\/vc_column][\/vc_row]\n<\/div>","protected":false},"excerpt":{"rendered":"

    [vc_row][vc_column][mk_title_box color=”#1e73be” font_family=”none”]Odjel\/Katedra:\u00a0Odjel za matematiku[\/mk_title_box][\/vc_column][\/vc_row][vc_row][vc_column width=”1\/4″][mk_employees style=”classic” column=”1″ employees=”11931″][vc_column_text css=”.vc_custom_1520591816036{margin-bottom: 0px !important;}”] – prof.dr.sc. Dra\u017een Adamovi\u0107, PMF Zagreb, matemati\u010dki odsjek [\/vc_column_text][vc_column_text css=”.vc_custom_1526454617369{margin-bottom: 0px !important;}”]- Iva \u0106u\u017ee, mag.edu.mat, FPMOZ Mostar [\/vc_column_text][\/vc_column][vc_column width=”3\/4″][vc_column_text css=”.vc_custom_1526456417552{margin-bottom: 0px !important;}”] Podru\u010dje istra\u017eivanja: – Reprezentacije beskona\u010dnodimenzionalnih Liejevih algebri – Free field realizacije i pravila fuzije za verteks algebre i njihove modula – […]<\/p>\n","protected":false},"author":1,"featured_media":1390,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"rs_blank_template":"","rs_page_bg_color":"","slide_template_v7":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-1253","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-samostalna-istrazivanja"],"acf":[],"yoast_head":"\nReprezentacije verteks algebri - Odjel za matematiku<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/\" \/>\n<meta property=\"og:locale\" content=\"hr_HR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Reprezentacije verteks algebri - Odjel za matematiku\" \/>\n<meta property=\"og:description\" content=\"[vc_row][vc_column][mk_title_box color=”#1e73be” font_family=”none”]Odjel\/Katedra:\u00a0Odjel za matematiku[\/mk_title_box][\/vc_column][\/vc_row][vc_row][vc_column width=”1\/4″][mk_employees style=”classic” column=”1″ employees=”11931″][vc_column_text css=”.vc_custom_1520591816036{margin-bottom: 0px !important;}”] – prof.dr.sc. Dra\u017een Adamovi\u0107, PMF Zagreb, matemati\u010dki odsjek [\/vc_column_text][vc_column_text css=”.vc_custom_1526454617369{margin-bottom: 0px !important;}”]- Iva \u0106u\u017ee, mag.edu.mat, FPMOZ Mostar [\/vc_column_text][\/vc_column][vc_column width=”3\/4″][vc_column_text css=”.vc_custom_1526456417552{margin-bottom: 0px !important;}”] Podru\u010dje istra\u017eivanja: – Reprezentacije beskona\u010dnodimenzionalnih Liejevih algebri – Free field realizacije i pravila fuzije za verteks algebre i njihove modula – […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/\" \/>\n<meta property=\"og:site_name\" content=\"Odjel za matematiku\" \/>\n<meta property=\"article:published_time\" content=\"2018-03-15T12:08:50+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-11-16T07:51:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/wp-content\/uploads\/sites\/24\/2018\/03\/strune.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"500\" \/>\n\t<meta property=\"og:image:height\" content=\"300\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"autor\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisao\/la\" \/>\n\t<meta name=\"twitter:data1\" content=\"autor\" \/>\n\t<meta name=\"twitter:label2\" content=\"Procijenjeno vrijeme \u010ditanja\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/\"},\"author\":{\"name\":\"autor\",\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/#\/schema\/person\/8c4957fe31fd46303be41a1bd068040a\"},\"headline\":\"Reprezentacije verteks algebri\",\"datePublished\":\"2018-03-15T12:08:50+00:00\",\"dateModified\":\"2021-11-16T07:51:33+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/\"},\"wordCount\":446,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/wp-content\/uploads\/sites\/24\/2018\/03\/strune.jpg\",\"articleSection\":[\"Samostalna istra\u017eivanja\"],\"inLanguage\":\"hr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/\",\"url\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/\",\"name\":\"Reprezentacije verteks algebri - 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Dra\u017een Adamovi\u0107, PMF Zagreb, matemati\u010dki odsjek [\/vc_column_text][vc_column_text css=”.vc_custom_1526454617369{margin-bottom: 0px !important;}”]- Iva \u0106u\u017ee, mag.edu.mat, FPMOZ Mostar [\/vc_column_text][\/vc_column][vc_column width=”3\/4″][vc_column_text css=”.vc_custom_1526456417552{margin-bottom: 0px !important;}”] Podru\u010dje istra\u017eivanja: – Reprezentacije beskona\u010dnodimenzionalnih Liejevih algebri – Free field realizacije i pravila fuzije za verteks algebre i njihove modula – […]","og_url":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/","og_site_name":"Odjel za matematiku","article_published_time":"2018-03-15T12:08:50+00:00","article_modified_time":"2021-11-16T07:51:33+00:00","og_image":[{"width":500,"height":300,"url":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/wp-content\/uploads\/sites\/24\/2018\/03\/strune.jpg","type":"image\/jpeg"}],"author":"autor","twitter_card":"summary_large_image","twitter_misc":{"Napisao\/la":"autor","Procijenjeno vrijeme \u010ditanja":"2 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/#article","isPartOf":{"@id":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/"},"author":{"name":"autor","@id":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/#\/schema\/person\/8c4957fe31fd46303be41a1bd068040a"},"headline":"Reprezentacije verteks algebri","datePublished":"2018-03-15T12:08:50+00:00","dateModified":"2021-11-16T07:51:33+00:00","mainEntityOfPage":{"@id":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/"},"wordCount":446,"commentCount":0,"image":{"@id":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/#primaryimage"},"thumbnailUrl":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/wp-content\/uploads\/sites\/24\/2018\/03\/strune.jpg","articleSection":["Samostalna istra\u017eivanja"],"inLanguage":"hr","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/","url":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-reprezentacije-verteks-algebri\/","name":"Reprezentacije verteks algebri - 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