Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Drinfeld-Sokolov hierarchies and diagram automorphisms of affine
  Kac-Moody algebras   For a diagram automorphism of an affine Kac-Moody algebra such that the
folded diagram is still an affine Dynkin diagram, we show that the associated
Drinfeld-Sokolov hierarchy also admits an induced automorphism. Then we show
how to obtain the Drinfeld-Sokolov hierarchy associated to the affine Kac-Moody
algebra that corresponds to the folded Dynkin diagram from the invariant
sub-hierarchy of the original Drinfeld-Sokolov hierarchy.

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The categories of this paper are: bayes-an
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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: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc