Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization of the current algebra and integrable top-like systems   A hierarchy of integrable hamiltonian nonlinear ODEs is associated with any
decomposition of the Lie algebra of Laurent series with coefficients being
elements of a semi-simple Lie algebra into a sum of the subalgebra consisting
of the Taylor series and some complementary subalgebra. In the case of the Lie
algebra $so(3)$ our scheme covers all classical integrable cases in the
Kirchhoff problem of the motion of a rigid body in an ideal fluid. Moreover,
the construction allows us to generate integrable deformations for known
integrable models.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat