Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nilpotent action on the KdV variables and 2-dimensional Drinfeld-Sokolov
  reduction   We note that a version ``with spectral parameter'' of the Drinfeld-Sokolov
reduction gives a natural mapping from the KdV phase space to the group of
loops with values in $\widehat N_{+}/A, \widehat N_{+}$~: affine nilpotent and
$A$ principal commutative (or anisotropic Cartan) subgroup~; this mapping is
connected to the conserved densities of the hierarchy. We compute the
Feigin-Frenkel action of $\widehat n_{+}$ (defined in terms of screening
operators) on the conserved densities, in the $sl_2$ case.

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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin