Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The automorphism groups of the vertex operator algebras $V_L^+$: general
  case   In this article, we give a method of calculating the automorphism groups of
the vertex operator algebras $V_L^+$ associated with even lattices $L$. For
example, by using this method we determine the automorphism groups of $V_L^+$
for even lattices of rank one, two and three, and even unimodular lattices.

10
The categories of this paper are: q-bio
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas