Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branching systems and representations of Cohn-Leavitt path algebras of
  separated graphs   We construct for each separated graph (E;C) a family of branching systems
over a set X and show how each branching system induces a representation of the
Cohn-Leavitt path algebra associated to (E;C) as homomorphisms over the module
of functions in X. We also prove that the abelianized Cohn-Leavitt path algebra
of a separated graph with no loops can be written as an amalgamated free
product of abelianized Cohn-Leavitt algebras that can be faithfully represented
via branching systems.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex