Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed product Poisson structures associated to Poisson Lie groups and
  Lie bialgebras   We introduce and study some mixed product Poisson structures on product
manifolds associated to Poisson Lie groups and Lie bialgebras. For
quasitriangular Lie bialgebras, our construction is equivalent to that of
fusion products of quasi-Poisson G-manifolds introduced by Alekseev, Kosmann-
Schwarzbach, and Meinrenken. Our primary examples include four series of
holomorphic Poisson structures on products of flag varieties and related spaces
of complex semi-simple Lie groups.

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The categories of this paper are: cs
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org