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arXiv · 1311.2829

On 3-transposition groups generated by $σ$-involutions associated to c=4/5 Virasoro vectors

Ching Hung Lam·Hiroshi Yamauchi
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Abstract

In this paper, we show that $σ$-involutions associated to extendable c=4/5 Virasoro vectors generate a 3-transposition group in the automorphism group of a vertex operator algebra (VOA). Several explicit examples related to lattice VOA are also discussed in details. In particular, we show that the automorphism group of the VOA $V_{K_{12}}^{\hatν}$ associated to the Coxeter Todd lattice $K_{12}$ contains a subgroup isomorphic to ${}^+Ω^{-}(8,3)$.

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BibTeXRIS

Ching Hung Lam, Hiroshi Yamauchi. 2013-11-12. On 3-transposition groups generated by $σ$-involutions associated to c=4/5 Virasoro vectors. https://arxiv.org/abs/1311.2829

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