Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex-algebraic structure of the principal subspaces of level one
  modules for the untwisted affine Lie algebras of types A,D,E   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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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph