{"id":629,"date":"2018-10-26T09:13:41","date_gmt":"2018-10-26T07:13:41","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=629"},"modified":"2018-10-26T09:14:14","modified_gmt":"2018-10-26T07:14:14","slug":"leading-terms-of-relations-for-standard-modules-of-the-affine-lie-algebras-c1_n","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/hr\/leading-terms-of-relations-for-standard-modules-of-the-affine-lie-algebras-c1_n\/","title":{"rendered":"Leading terms of relations for standard modules of the affine Lie algebras \"C^{(1)}_n\""},"content":{"rendered":"

<\/p>\n

Authors:<\/strong>\u00a0Mirko\u00a0Primc, Tomislav\u00a0\u0160iki\u0107<\/p>\n

The Ramanujan Journal<\/a>,\u00a0<\/span>pp 1\u201335.<\/span><\/p>\n

https:\/\/doi.org\/10.1007\/s11139-018-0052-5<\/a><\/p>\n

Abstract:<\/strong>\u00a0In this paper, we give a combinatorial parametrization of leading terms of defining relations for the vacuum level\u00a0\"k\"\u00a0standard modules for the affine Lie algebra of type\u00a0\"C^{(1)}_n\". Using this parametrization, we conjecture colored Rogers\u2013Ramanujan type combinatorial identities for \"n \geq 2\" and \"k \geq 2\"; the identity in the case\u00a0\"n =k=1\" is equivalent to one of Capparelli\u2019s identities.<\/p>","protected":false},"excerpt":{"rendered":"

Authors:\u00a0Mirko\u00a0Primc, Tomislav\u00a0\u0160iki\u0107 The Ramanujan Journal,\u00a0pp 1\u201335. https:\/\/doi.org\/10.1007\/s11139-018-0052-5 Abstract:\u00a0In this paper, we give a combinatorial parametrization of leading terms of defining relations for the vacuum level\u00a0\u00a0standard modules for the affine Lie algebra of type\u00a0. Using this parametrization, we conjecture colored Rogers\u2013Ramanujan type combinatorial identities for and ; the identity in the […]<\/a><\/p>\n<\/div>","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[18,14],"tags":[],"_links":{"self":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/629"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/comments?post=629"}],"version-history":[{"count":6,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/629\/revisions"}],"predecessor-version":[{"id":635,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/629\/revisions\/635"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=629"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}