Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reductive linear differential algebraic groups and the Galois groups of
  parameterized linear differential equations   We develop the representation theory for reductive linear differential
algebraic groups (LDAGs). In particular, we exhibit an explicit sharp upper
bound for orders of derivatives in differential representations of reductive
LDAGs, extending existing results, which were obtained for SL(2) in the case of
just one derivation. As an application of the above bound, we develop an
algorithm that tests whether the parameterized differential Galois group of a
system of linear differential equations is reductive and, if it is, calculates
it.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph