{"id":726,"date":"2020-08-27T11:48:48","date_gmt":"2020-08-27T09:48:48","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=726"},"modified":"2020-08-27T11:49:34","modified_gmt":"2020-08-27T09:49:34","slug":"a-note-on-principal-subspaces-of-the-affine-lie-algebras-in-types-b_l1-c_l1-f_41-and-g_21","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/hr\/a-note-on-principal-subspaces-of-the-affine-lie-algebras-in-types-b_l1-c_l1-f_41-and-g_21\/","title":{"rendered":"A note on principal subspaces of the affine Lie algebras in types \"B_l^{(1)}, C_l^{(1)}, F_4^{(1)}\" and \"G_2^{(1)}\""},"content":{"rendered":"

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Author:\u00a0<\/strong>Marijana Butorac<\/p>\n

Communications in Algebra,\u00a0doi: 10.1080\/00927872.2020.1788046<\/p>\n

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Abstract:<\/strong> We construct quasi-particle bases of principal subspaces of standard\u00a0modules \"L(\Lambda)\",<\/span><\/span><\/span>\u00a0where \"\Lambda = k_0 \Lambda_0 + k_j \Lambda_j\",<\/span><\/span><\/span>\u00a0and \"\Lambda_j\"\u00a0<\/i>denotes the fundamental weight of affine Lie algebras of type \"B_l^{(1)}, C_l^{(1)}, F_4^{(1)}\", or \"G_2^{(1)}\" of level one. From the given bases we find characters of principal subspaces.<\/p>\n<\/div>\n<\/div>\n

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Keywords:<\/strong>\u00a0Affine Lie algebras<\/a>,\u00a0<\/span>combinatorial bases<\/a>,\u00a0<\/span>principal subspaces<\/a>,\u00a0<\/span>quasi-particles<\/a>,\u00a0<\/span>vertex operator algebras<\/a><\/p>\n

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

Author:\u00a0Marijana Butorac Communications in Algebra,\u00a0doi: 10.1080\/00927872.2020.1788046 Abstract: We construct quasi-particle bases of principal subspaces of standard\u00a0modules ,\u00a0where ,\u00a0and \u00a0denotes the fundamental weight of affine Lie algebras of type , or of level one. From the given bases we find characters of principal subspaces. Keywords:\u00a0Affine Lie algebras,\u00a0combinatorial bases,\u00a0principal subspaces,\u00a0quasi-particles,\u00a0vertex operator algebras<\/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\/726"}],"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=726"}],"version-history":[{"count":5,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/726\/revisions"}],"predecessor-version":[{"id":731,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/726\/revisions\/731"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=726"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}