4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.QA2005★ 3 cited
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…
math.QA2004
The rank two lattice type vertex operator algebras V_L^+ and their automorphism groups
Chongying Dong, Robert L. Griess
Let L be a positive definite even lattice and V_L^+ be the fixed points of the lattice VOA V_L associated to L under an automorphism of V_L lifting the -1 isometry of L. For any po…
math.GR2004★ 4 cited
Pieces of 2^d: Existence and uniqueness for Barnes-Wall and Ypsilanti lattices
Robert L. Griess
We give a new existence proof for the rank 2^d even lattices usually called the Barnes-Wall lattices, and establish new results on uniqueness, structure and transitivity of the aut…