{"id":1963,"date":"2022-04-29T09:54:01","date_gmt":"2022-04-29T07:54:01","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/on-a-quadratic-polynomial-attached-to-simple-lie-algebras-paolo-papi-sapienza-universita-di-roma\/"},"modified":"2022-04-29T10:01:31","modified_gmt":"2022-04-29T08:01:31","slug":"on-a-quadratic-polynomial-attached-to-simple-lie-algebras-paolo-papi-sapienza-universita-di-roma","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/on-a-quadratic-polynomial-attached-to-simple-lie-algebras-paolo-papi-sapienza-universita-di-roma\/","title":{"rendered":"On a quadratic polynomial attached to simple Lie algebras – Paolo Papi (Sapienza Universit\u00e0 di Roma)"},"content":{"rendered":"

Abstract<\/h4>\n

We will introduce a polynomial $p_{\\mathfrak{g}}(k)$ attached to a simple Lie algebra $\\mathfrak{g}$. It appears in several different contexts:<\/p>\n

    \n
  1. the minimal quantization of the adjoint representation of Drinfeld’s Yangian $\\mathsf{Y}(\\mathfrak{g})$;<\/li>\n
  2. the generating relations for the minimal $W(\\mathfrak{g})$;<\/li>\n
  3. unitarity problems for minimal W-algebras.<\/li>\n<\/ol>\n

    After giving the setup for (1), (2), (3), we will provide an explanation of a surprising coincidence regarding (1), (2); then we will discuss the role of $p_{\\mathfrak{g}}(k)$ in (3).
    \nThe results pertain to joint projects with Kac and Moseneder Frajria.<\/p>\n

    Click here<\/a> to see the slides of the talk and here<\/a> to see the video of the talk.<\/p>\n

    Further information is available on the event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"

    We will introduce a polynomial\u00a0$p_{\\mathfrak{g}}(k)$ attached to a simple Lie algebra\u00a0$\\mathfrak{g}$. It appears in several different contexts: the minimal quantization of the adjoint representation of Drinfeld’s Yangian\u00a0$\\mathsf{Y}(\\mathfrak{g})$;…<\/p>\n

    Read More…<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-1963","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1605092400,"unipievents_enddate":1605099600,"unipievents_place":"","unipievents_externalid":24,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1963","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":1,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1963\/revisions"}],"predecessor-version":[{"id":1981,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1963\/revisions\/1981"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=1963"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=1963"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=1963"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}