Transactions of the American Mathematical Society 375(3) 2025-2067 2022年1月
<p>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 establish the Conway-Miyamoto correspondences between Fischer 3...
We study simple current extensions of tensor products of two vertex operator<br />
algebras satisfying certain conditions. We establish the relationship between<br />
the fusion rule for the simple current extension and the fusion rule for a<br />...
We prove the uniqueness of the simple vertex operator algebra of OZ-type<br />
generated by Ising vectors of -type. We also prove that the simplicity<br />
can be omitted if the Griess algebra is isomorphic to the Matsuo algebra<br />
asso...
We investigate a general theory of the Z_2-twisted representations of vertex<br />
operator superalgebras. Certain one-to-one correspondence theorems are<br />
established. We also give an explicit realization of the Ising model SVOA and<br />
its...
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