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arXiv · 0710.1527

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

Corina Calinescu·James Lepowsky·Antun Milas
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Abstract

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.

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Corina Calinescu, James Lepowsky, Antun Milas. 2007-12-09. Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, II: higher level case. https://arxiv.org/abs/0710.1527

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