Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson-commutative subalgebras and complete integrability on
  non-regular coadjoint orbits and flag varieties   The purpose of this paper is to bring together various loose ends in the
theory of integrable systems. For a semisimple Lie algebra $\mathfrak g$, we
obtain several results on completeness of homogeneous Poisson-commutative
subalgebras of ${\mathcal S}(\mathfrak g)$ on coadjoint orbits. This concerns,
in particular, Mishchenko-Fomenko and Gelfand-Tsetlin subalgebras.

37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci