Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types A,D,E |
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Authors: | C Calinescu J Lepowsky A Milas |
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Institution: | 1. Department of Mathematics, Ohio State University, Columbus, OH 43210, United States;2. Department of Mathematics, Rutgers University, Piscataway, NJ 08854, United States;3. Department of Mathematics and Statistics, University at Albany (SUNY), Albany, NY 12222, United States |
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Abstract: | Generalizing some of our earlier work, we prove natural presentations of the principal subspaces of the level one standard modules for the untwisted affine Lie algebras of types A, D and E, and also of certain related spaces. As a consequence, we obtain a canonical complete set of recursions (q-difference equations) for the (multi-)graded dimensions of these spaces, and we derive their graded dimensions. Our methods are based on intertwining operators in vertex operator algebra theory. |
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