Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex operator algebras, generalized doubles and dual pairs   Let V be a simple vertex operator algebra and G a finite automorphism group.
Then there is a natural right G-action on the set of all inequivalent
irreducible V-modules. Let S be a finite set of inequivalent irreducible
V-modules which is closed under the action of G. There is a finite dimensional
semisimple associative algebra A_{\alpha}(G,S) for a suitable 2-cocycle \alpha
naturally determined by the G-action on S such that A_{\alpha}(G,S) and the
vertex operator algebra V^G form a dual pair on the sum of V-modules in S in
the sense of Howe. In particular, every irreducible V-module is completely
reducible V^G-module.

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The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph