8 citations · 19 across the 5 of their papers we have counts for
7 papers
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…
On the uniqueness of the moonshine vertex operator algebra
Chongying Dong, Robert L. Griess, Ching Hung Lam
It is proved that a vertex operator algebra is isomorphic to the moonshine VOA of Frenkel-Lepowsky-Meurman if it satisfies certain conditions. Our two main theorems establish a wea…
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…
Z_3 symmetry and W_3 algebra in lattice vertex operator algebras
C. Dong, C. H. Lam, K. Tanabe +2
The W_3 algebra of central charge 6/5 is realized as a subalgebra of the vertex operator algebra V_{\sqrt{2}A_2} associated with a lattice of type \sqrt{2}A_2 by using both coset c…
Decomposition of the vertex operator algebra V_{\sqrt{2}D_l}
C. Dong, C. H. Lam, H. Yamada
We determine the decomposition of V_{\sqrt{2}D_l} into a sum of irreducible T-modules for general l where D_l is the root lattice of type D_l and T is the tensor product of l+1 Vir…