Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principal subspaces for the affine Lie algebras in types $D$, $E$ and
  $F$   We consider the principal subspaces of certain level $k\geqslant 1$
integrable highest weight modules and generalized Verma modules for the
untwisted affine Lie algebras in types $D$, $E$ and $F$. Generalizing the
approach of G. Georgiev we construct their quasi-particle bases. We use the
bases to derive presentations of the principal subspaces, calculate their
character formulae and find some new combinatorial identities.

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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cs