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Bibliographic Details
Main Author: Feng, Runkang
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.09397
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Table of Contents:
  • In this paper, we study a class of simple OZ-type vertex operator algebras $V$ generated by simple Virasoro vectors $ω^{ij}=ω^{ji}$, $1\leq i<j\leq n$, $n\geq 3$. We prove that $V$ is uniquely determined by its Griess algebra $V_2$. The automorphism group of $V$ is also determined. Furthermore, we give the necessary conditions for $V$ to be unitary.