Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A closed-formula solution to the color-trace decomposition problem   In these notes we present a closed-formula solution to the problem of
decomposing traces of Lie algebra generators into symmetrized traces and
structure constants. The solution is written in terms of Solomon idempotents
and exploits a projection derived by Solomon in his work on the
Poincare-Birkhoff-Witt theorem.

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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph