34 citations · 121 across the 17 of their papers we have counts for
18 papers
Lattice vertex algebras over a field of positive characteristic: degenerate cases
Robert L. Griess, Ching Hung Lam
A vertex operator algebra associated with a positive definite even lattice has a standard integral form, which we denote it by . If is a field of c…
Permutation orbifolds and simple current extensions
Ching Hung Lam, Nina Yu
In this article, we study permutation orbifolds and simple current extensions in the framework of vertex operator (super)algebras. We extend the construction of permutation-twisted…
Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras
Ching Hung Lam, Hiroki Shimakura
In this article, we study the automorphism group of the cyclic orbifold of a vertex operator algebra associated with a rootless even lattice for a lift of a fixed-point free isomet…
Cyclic orbifolds of lattice vertex operator algebras having group like fusions
Ching Hung Lam
Let be an even (positive definite) lattice and . In this article, we prove that the orbifold vertex operator algebra has group-like fusion if and o…
Inertia groups and uniqueness of holomorphic vertex operator algebras
Ching Hung Lam, Hiroki Shimakura
We continue our program on classification of holomorphic vertex operator algebras of central charge . In this article, we show that there exists a unique strongly regular holom…
A remark on -orbifold constructions of the Moonshine vertex operator algebra
Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada
For , we consider a -orbifold construction of the Moonshine vertex operator algebra . We show that the vertex operator algebra obtained by…
A holomorphic vertex operator algebra of central charge whose weight one Lie algebra has type
Ching Hung Lam, Hiroki Shimakura
In this article, we describe a construction of a holomorphic vertex operator algebras of central charge whose weight one Lie algebra has type .
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…
Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
Ching Hung Lam, Hiroki Shimakura
In this article, we construct three new holomorphic vertex operator algebras of central charge using the -orbifold construction associated to inner automorphisms…
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…
Applications of vertex algebra covering procedures to Chevalley groups and modular moonshine
Robert L. Griess, Ching Hung Lam
A vertex operator algebra of lattice type ADE has a standard integral form which extends a Chevalley basis for its degree 1 Lie algebra. This integral form may be used to define a…
Moonshine paths for 3A and 6A nodes of the extended E8-diagram
Robert L. Griess, Ching Hung lam
We continue the program to make a moonshine path between a node of the extended -diagram and the Monster. Our theory is a concrete model expressing some of the mysterious conn…
Diagonal lattices and rootless pairs
Robert L. Griess, Ching Hung Lam
Let E be an integral lattice. We first discuss some general properties of an SDC lattice, i.e., a sum of two diagonal copies of E in E \bot E. In particular, we show that its group…
Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24
Ching Hung Lam, Hiroki Shimakura
In 1993, Schellekens obtained a list of possible 71 Lie algebras of holomorphic vertex operator algebras with central charge 24. However, not all cases are known to exist. The aim…
A moonshine path for 5A and associated lattices of ranks 8 and 16
Robert L. Griess, Ching Hung Lam
We continue the program, begun in \cite{gl3cpath}, to make a moonshine path between a node of the extended -diagram and the Monster simple group. Our goal is to provide a cont…
"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…
Rootless pairs of -lattices
Robert L. Griess, Ching Hung Lam
We describe a classification of pairs of lattices isometric to such that the lattice is integral and rootless and such that the dihedral group as…
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…