Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Levi subgroups and the Levi decomposition for groups definable in
  o-minimal structures   We study analogues of the notions from Lie theory of Levi subgroup and Levi
decomposition, in the case of groups G definable in an o-minimal expansion of a
real closed field. With suitable definitions, we prove that G has a unique
maximal ind-definable semisimple subgroup S, up to conjugacy, and that G = RS
where R is the solvable radical of G. We also prove that any semisimple
subalgebra of the Lie algebra of G corresponds to a unique ind-definable
semisimple subgroup of G.

14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol