Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential Galois Theory and Lie Symmetries   We study the interplay between the differential Galois group and the Lie
algebra of infinitesimal symmetries of systems of linear differential
equations. We show that some symmetries can be seen as solutions of a hierarchy
of linear differential systems. We show that the existence of rational
symmetries constrains the differential Galois group in the system in a way that
depends of the Maclaurin series of the symmetry along the zero solution.

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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: cs
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an