A characterization of vertex operator algebras V_(Zα)⁺: I
classification
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alphaoperatorvertexalgebrascharacterizationalgebracentralcharge
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A characterization of vertex operator algebra V_{Z\alpha}^+ with (\alpha,\alpha)/2 not being a perfect square is given in terms of dimensions of homogeneous subspaces of small weights. This result contributes to the classification of rational vertex operator algebras of central charge 1.
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