21 citations · 46 across the 24 of their papers we have counts for
18 papers · 1 filter
The classification of vertex operator algebras of OZ-type generated by Ising vectors of -type
Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi
We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of -type. As a consequence of the classification, we also prove that such VOAs are simple, rati…
3-transposition groups arising in VOA theory
Hiroshi Yamauchi
We review 3-transposition groups arising in vertex operator algebra theory. One can construct a commutative algebra called the Matsuo algebra out of a 3-transposition group. Some 3…
Vertex operator algebras generated by Ising vectors of -type
Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi
We prove the uniqueness of the simple vertex operator algebra of OZ-type generated by Ising vectors of -type. We also prove that the simplicity can be omitted if the Griess alge…
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…
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…
On 3-transposition groups generated by -involutions associated to c=4/5 Virasoro vectors
Ching Hung Lam, Hiroshi Yamauchi
In this paper, we show that -involutions associated to extendable c=4/5 Virasoro vectors generate a 3-transposition group in the automorphism group of a vertex operator algebra…
Extended Griess algebras and Matsuo-Norton trace formulae
Hiroshi Yamauchi
We introduce the Z_2-extended Griess algebra of a vertex operator superalgebra with an involution and derive the Matsuo-Norton trace formulae for the extended Griess algebra based…
"McKay's E7 observation on the Baby Monster" and "McKay's E6 observation on the largest Fischer group"
Gerald Hoehn, Ching Hung Lam, Hiroshi Yamauchi
E7 part: In this paper, we study McKay's E7 observation on the Baby Monster. By investigating so called derived c=7/10 Virasoro vectors, we show that there is a natural corresponde…
A characterization of the moonshine vertex operator algebra by means of Virasoro frames
Ching Hung Lam, Hiroshi Yamauchi
In this article, we show that a framed vertex operator algebra V satisfying the conditions: (1) V is holomorphic (i.e., V is the only irreducible V-module); (2) V is of rank 24; an…
On the structure of framed vertex operator algebras and their pointwise frame stabilizers
Ching Hung Lam, Hiroshi Yamauchi
In this paper, we study the structure of a general framed vertex operator algebra. We show that the structure codes (C,D) of a framed VOA V satisfy certain duality conditions. As a…
Ising vectors and automorphism groups of commutant subalgebras related to root systems
Ching Hung Lam, Shinya Sakuma, Hiroshi Yamauchi
In this article we study and obtain a classification of Ising vectors in vertex operator algebras associated to binary codes and times root lattices, where an Ising vect…
McKay's observation and vertex operator algebras generated by two conformal vectors of central charge 1/2
Ching Hung Lam, Hiromichi Yamada, Hiroshi Yamauchi
This paper is a continuation of our paper math.QA/0403010 at which several coset subalgebras of the lattice VOA were constructed and the relationship between such…
Vertex operator algebras, extended E_8 diagram, and McKay's observation on the Monster simple group
Ching Hung Lam, Hiromichi Yamada, Hiroshi Yamauchi
We study McKay's observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E_8 diagram, using the theory of vertex opera…
2A-orbifold construction and the baby-monster vertex operator superalgebra
Hiroshi Yamauchi
In this article we prove that the full automorphism group of the baby-monster vertex operator superalgebra constructed by Hoehn is isomorphic to 2xB, where B is the baby-monster sp…
Module categories of simple current extensions of vertex operator algebras
Hiroshi Yamauchi
In this article, we study module categries of simple current extensions of vertex operator algebras. Under certain assumptions, we show that every module for a rational vertex oper…
Modularity on vertex operator algebras arising from semisimple primary vectors
Hiroshi Yamauchi
In this article, using an idea of the physics superselection principal, we study a modularity on vertex operator algebras arising from semisimple primary vectors. We generalizes th…
Vertex operator algebra with two Miyamoto involutions generating
Shinya Sakuma, Hiroshi Yamauchi
In this article we study a VOA with two Miyamoto involutions generating . In \cite{M3}, Miyamoto showed that a VOA generated by two conformal vectors whose Miyamoto involution…
On Z_2-twisted representation of vertex operator superalgebras and the Ising model SVOA
Hiroshi Yamauchi
We investigate a general theory of the Z_2-twisted representations of vertex operator superalgebras. Certain one-to-one correspondence theorems are established. We also give an exp…