Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Lie Bialgebroid Crossed Modules   We study Lie bialgebroid crossed modules which are pairs of Lie algebroid
crossed modules in duality that canonically give rise to Lie bialgebroids. A
one-one correspondence between such Lie bialgebroid crossed modules and
co-quadratic Manin triples $(K,P,Q)$ is established, where $K$ is a
co-quadratic Lie algebroid and $(P,Q)$ is a pair of transverse Dirac structures
in $K$.

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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol