Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Image of the Gassner Representation of the Pure Braid Subgroup has
  Pairwise Free Generators   While much is known about the faithfulness of the Burau representation, the
problem remains open for the Gassner representation for every $B_n$ with $n\geq
4$. We first find the definition of the Colored-Burau representation of
Ainshel, Ainshel, Goldfeld, and Lemieux and we show that this is equivalent,
when restricted to the pure braid subgroup, to the Gassner representation. The
methods of Abdulrahim and Knudson require analysis within the lower central
series of a free subgroup of the pure braid group. However, Lipschutz's work
gives a method for analyzing the Gassner representation and the Colored-Burau
structure reduces this analysis to basic linear algebra.

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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys