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Vertex operator algebras generated by Ising vectors of \(\sigma\)-type - MaRDI portal

Vertex operator algebras generated by Ising vectors of \(\sigma\)-type (Q2272956)

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Vertex operator algebras generated by Ising vectors of \(\sigma\)-type
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    Vertex operator algebras generated by Ising vectors of \(\sigma\)-type (English)
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    17 September 2019
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    The main result of this paper establishes uniqueness of the simple vertex operator algebra of One-Zero type generated by Ising vectors of \(\sigma\)-type. Additionally, it is shown that the simplicity assumption can be dropped if the associated \(3\)-transposition group is isomorphic to the symmetric group \(S_n\) on \(n\) elements.
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    vertex operator algebra
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    Ising vector
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    root system
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    algebra
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