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Characterizations of the Vertex Operator Algebras VLT${V_{L}^{T}}$ and VLO${V_{L}^{O}}$

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In this paper, we give characterizations of the rational vertex operator algebras VLT${V_{L}^{T}}$ and VLO${V_{L}^{O}}$, where L is the root lattice of type A1, T is the tetrahedral group, and… Click to show full abstract

In this paper, we give characterizations of the rational vertex operator algebras VLT${V_{L}^{T}}$ and VLO${V_{L}^{O}}$, where L is the root lattice of type A1, T is the tetrahedral group, and O is the octahedral group. By these two characterizations, the classification of rational VOAs of central charge 1 is reduced to the characterization of VLI${V_{L}^{I}}$ where I is the icosahedral group.

Keywords: vlt vlo; vertex operator; algebras vlt; characterizations vertex; operator algebras

Journal Title: Algebras and Representation Theory
Year Published: 2017

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