3-dimensional Griess algebras and Miyamoto involutions

2016/04/15 by Ching Hung Lam, Lam, Ching Hung, Hiroshi Yamauchi +1
Mathematics · Physics and Astronomy · #17B69 (Primary) #20B25 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1604.04470

openalex publication_date 2016/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a series of VOAs generated by 3-dimensional Griess algebras. We will show that these VOAs can be characterized by their 3-dimensional Griess algebras and their structures are uniquely determined. As an application, we will determine the groups generated by the Miyamoto involutions associated to Virasoro vectors of our VOAs.

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