English

3-dimensional Griess algebras and Miyamoto involutions

Quantum Algebra 2016-04-18 v1

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.

Keywords

Cite

@article{arxiv.1604.04470,
  title  = {3-dimensional Griess algebras and Miyamoto involutions},
  author = {Ching Hung Lam and Hiroshi Yamauchi},
  journal= {arXiv preprint arXiv:1604.04470},
  year   = {2016}
}