Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lie algebra associated with the lower central series of a
  right-angled Coxeter group   We study the lower central series of a right-angled Coxeter group $RC_K$ and
the associated Lie algebra $L(RC_K)$. The latter is related to the graph Lie
algebra $L_K$. We give an explicit combinatorial description of the first three
consecutive factors of the lower central series of the group $RC_K$.

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
9
The categories of this paper are: nlin