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

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

2007-10-08

arxiv.org/abs/0710.1527v2

J.PureAppl.Algebra212:1928-1950,2008

Mathematics

Quantum Algebra

26 pages; v2: minor revisions, to appear in Journal of Pure and Applied Algebra

Scientific paper

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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