Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, I: level one case

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dc.creatorCalinescu, Corina
dc.creatorLepowsky, James
dc.creatorMilas, Antun
dc.date2007-04-13
dc.date.accessioned2026-07-07T11:33:02Z
dc.date.available2026-07-07T11:33:02Z
dc.descriptionThis is the first in a series of papers in which we study vertex-algebraic structure of Feigin-Stoyanovsky's principal subspaces associated to standard modules for both untwisted and twisted affine Lie algebras. A key idea is to prove suitable presentations of principal subspaces, without using bases or even ``small'' spanning sets of these spaces. In this paper we prove presentations of the principal subspaces of the basic A_1^(1)-modules. These convenient presentations were previously used in work of Capparelli-Lepowsky-Milas for the purpose of obtaining the classical Rogers-Ramanujan recursion for the graded dimensions of the principal subspaces.
dc.description20 pages. To appear in International J. of Math
dc.identifierhttps://arxiv.org/abs/0704.1759
dc.identifierhttp://arxiv.org/abs/0704.1759
dc.identifierInt.J.Math.19:71-92,2008
dc.identifierdoi:10.1142/S0129167X08004571
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197760
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.subject17B69; 17B65; 05A17
dc.titleVertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, I: level one case
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