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3-dimensional Griess Algebras and Miyamoto Involutions
by Ching Hung Lam   Hiroshi Yamauchi  

Vol. 14 No. 2 (2019) P.119~P.147
DOI:
  10.21915/BIMAS.2019201

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.


KEYWORDS
Vertex operator algebra, Virasoro algebra, Griess algebra, Miyamoto involution

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 17B69; Secondary 20B25.

MILESTONES

Received: 2017-05-23
Revised : 2018-01-26
Accepted: 2018-01-27


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