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

By C. Calinescu, James Lepowsky, Antun Milas. 2007

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We give an a priori proof of the known presentations of (that is, completeness of families of relations for) the principal subspaces of all the standard A_1^(1)-modules. These presentations had been used by Capparelli, Lepowsky and Milas for the purpose of obtaining the classical Rogers-Selberg recursions for the graded dimensions of the principal subspaces. This paper generalizes our previous paper.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bf3a4bf987c0ed0d616e7c0a14c2aec47ac57d02