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2019 / June Volume 14 No.2
3-dimensional Griess Algebras and Miyamoto Involutions
Published Date
2019 / June
Title
3-dimensional Griess Algebras and Miyamoto Involutions
Author
Ching Hung Lam, Hiroshi Yamauchi
Keyword
Vertex operator algebra, Virasoro algebra, Griess algebra, Miyamoto involution, Vertex operator algebra, Virasoro algebra, Griess algebra, Miyamoto involution
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Pagination
119-147
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 with Virasoro vectors of these VOAs.
DOI
10.21915/BIMAS.2019201
https://doi.org/10.21915/BIMAS.2019201
AMS Subject
Classification
17B69; Secondary 20B25.
Received
2018-01-26
Accepted
2018-01-27
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