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math.QA2016
3-dimensional Griess algebras and Miyamoto involutions
Ching Hung Lam, Hiroshi Yamauchi
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 structur…
math.QA2016
The Conway-Miyamoto correspondences for the Fischer 3-transposition groups
Ching Hung Lam, Hiroshi Yamauchi
In this paper, we present a general construction of 3-transposition groups as automorphism groups of vertex operator algebras. Applying to the moonshine vertex operator algebra, we…