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3-dimensional Griess algebras and Miyamoto involutions
Published 15 Apr 2016 in math.QA | (1604.04470v1)
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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