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• W3099435919 abstract "In this article, we study Griess algebras and vertex operator subalgebras generated by Ising vectors in a moonshine type VOA such that the subgroup generated by the corresponding Miyamoto involutions has the shape $3^2{:}2$ and any two Ising vectors generate a 3C subVOA $U_{3C}$. We show that such a Griess algebra is uniquely determined, up to isomorphisms. The structure of the corresponding vertex operator algebra is also discussed. In addition, we give a construction of such a VOA inside the lattice VOA $V_{E_8^3}$, which gives an explicit example for Majorana representations of the group $3^2{:}2$ of 3C-pure type." @default.
• W3099435919 created "2020-11-23" @default.
• W3099435919 creator A5029578774 @default.
• W3099435919 creator A5078931903 @default.
• W3099435919 date "2014-09-10" @default.
• W3099435919 modified "2023-09-23" @default.
• W3099435919 title "An explicit Majorana representation of the group 32:2 of 3C-pure type" @default.
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• W3099435919 doi "https://doi.org/10.2140/pjm.2014.271.25" @default.
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