Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partitions, Vertex Operator Constructions and Multi-component KP
  equations   For every partition of a positive integer $n$ in $k$ parts and every point of
an infinite Grassmannian we obtain a solution of the $k$ component
differential-difference KP hierarchy and a corresponding Baker function. A
partition of $n$ also determines a vertex operator construction of the
fundamental representations of the infinite matrix algebra $gl_\infty$ and
hence a $\tau$ function. We use these fundamental representations to study the
Gauss decomposition in the infinite matrix group $Gl_\infty$ and to express the
Baker function in terms of $\tau$-functions. The reduction to loop algebras is
discussed.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci