3-dimensional Griess Algebras and Miyamoto Involutions
Ching Hung Lam
Vol. 14 No. 2 (2019) P.119~P.147
DOI: || https://doi.org/10.21915/BIMAS.2019201 |
| ||10.21915/BIMAS.2019201 |
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 with Virasoro vectors of these VOAs.
Vertex operator algebra, Virasoro algebra, Griess algebra, Miyamoto involution
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 17B69; Secondary 20B25.
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Revised : 2018-01-26