Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism Groups of nilpotent Lie algebras associated to certain
  graphs   We consider a family of 2-step nilpotent Lie algebras associated to uniform
complete graphs on odd number of vertices. We prove that the symmetry group of
such a graph is the holomorph of the additive cyclic group $\Z_n$. Moreover, we
prove that the (Lie) automorphism group of the corresponding nilpotent Lie
algebra contains the dihedral group of order $2n$ as a subgroup.

20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph