Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, II: higher level case
Quantum Algebra
2008-11-26 v2 High Energy Physics - Theory
Representation Theory
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.
Keywords
Cite
@article{arxiv.0710.1527,
title = {Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, II: higher level case},
author = {Corina Calinescu and James Lepowsky and Antun Milas},
journal= {arXiv preprint arXiv:0710.1527},
year = {2008}
}
Comments
26 pages; v2: minor revisions, to appear in Journal of Pure and Applied Algebra