Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Natural transformations of tensor algebras and representations of
  combinatorial groups   Natural linear and coalgebra transformations of tensor algebras are studied.
The representations of certain combinatorial groups are given. These
representations are connected to natural transformations of tensor algebras and
to the groups of the homotopy classes of maps from the James construction to
loop spaces. Applications to homotopy theory appear in a sequel.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph