Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classification of Poisson homogeneous spaces of complex reductive
  Poisson-Lie groups   Let $G$ be a complex reductive connected algebraic group equipped with the
Sklyanin bracket. A classification of Poisson homogeneous $G$-spaces with
connected isotropy subgroups is given. This result is based on Drinfeld's
correspondence between Poisson homogeneous $G$-spaces and Lagrangian
subalgebras in the double $D(g)$ (here $g = Lie G$). A geometric interpretation
of some of Poisson homogeneous $G$-spaces is also proposed.

21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th