In this paper, we present a general construction of 3-transposition groups as<br />
automorphism groups of vertex operator algebras. Applying to the moonshine<br />
vertex operator algebra, we establish the Conway-Miyamoto correspondences<br />
be...
We consider a series of VOAs generated by 3-dimensional Griess algebras. We<br />
will show that these VOAs can be characterized by their 3-dimensional Griess<br />
algebras and their structures are uniquely determined. As an application, we<br />...
Springer Proceedings in Mathematics and Statistics 191(191) 513-521 2016年 [査読有り]
We construct a vertex operator algebra associated with a Z/kZ-code of length n for an integer k ≥ 2.We realize it inside a lattice vertex operator algebra as the commutant of a certain subalgebra. The vertex operator algebra is isomorphic to a kno...
Journal of Algebra 416(416) 84-121 2014年10月 [査読有り]
In this paper, we show that -involutions associated to extendable<br />
c=4/5 Virasoro vectors generate a 3-transposition group in the automorphism<br />
group of a vertex operator algebra (VOA). Several explicit examples related to<br />
...
Conformal Field Theory, Automorphic Forms and Related Topics 75-108 2014年 [査読有り][招待有り]
We introduce the Z_2-extended Griess algebra of a vertex operator<br />
superalgebra with an involution and derive the Matsuo-Norton trace formulae for<br />
the extended Griess algebra based on conformal design structure. We illustrate<br />
an a...
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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