{"id":434,"date":"2016-10-25T13:39:02","date_gmt":"2016-10-25T11:39:02","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=434"},"modified":"2016-10-25T16:11:44","modified_gmt":"2016-10-25T14:11:44","slug":"combinatorial-bases-of-basic-modules-for-affine-lie-algebras-c_n1","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/hr\/combinatorial-bases-of-basic-modules-for-affine-lie-algebras-c_n1\/","title":{"rendered":"Combinatorial bases of basic modules for affine Lie algebras \"C_n^{(1)}\""},"content":{"rendered":"

<\/p>\n

Abstract:\u00a0Lepowsky and Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via vertex operator constructions of standard (i.e., integrable highest weight) representations of affine Kac-Moody Lie algebras. Meurman and Primc developed further this approach for\"\mathfrak{sl}(2,\mathbb{C})^{\sim}\"\u00a0<\/span>by using vertex operator algebras and Verma modules. In this paper, we use the same method to construct combinatorial bases of basic modules for affine Lie algebras of type \"C_n^{(1)}\"\u00a0and, as a consequence, we obtain a series of Rogers-Ramanujan type identities. A major new insight is a combinatorial parametrization of leading terms of defining relations for level one standard modules for affine Lie algebra of type \"C_n^{(1)}\".<\/p>\n

Mirko Primc\u00a0and Tomislav \u0160iki\u0107,\u00a0Combinatorial bases of basic modules for affine Lie algebras \"C_n^{(1)}\"<\/a>,\u00a0J. Math. Phys. 57<\/span>, 091701 (2016); http:\/\/dx.doi.org\/10.1063\/1.4962392<\/a>.<\/p>","protected":false},"excerpt":{"rendered":"

Abstract:\u00a0Lepowsky and Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via vertex operator constructions of standard (i.e., integrable highest weight) representations of affine Kac-Moody Lie algebras. Meurman and Primc developed further this approach for\u00a0by using vertex operator algebras and Verma modules. In this paper, we use the same method […]<\/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\/434"}],"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=434"}],"version-history":[{"count":2,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/434\/revisions"}],"predecessor-version":[{"id":437,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/434\/revisions\/437"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=434"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=434"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=434"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}