Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Toda flows   The classical hierarchy of Toda flows can be thought of as an action of the
(abelian) group of polynomials on Jacobi matrices. We present a generalization
of this to the larger groups of $C^2$ and entire functions, and in this second
case, we also introduce associated cocycles and in fact give center stage to
this object.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol