4 citations · 7 across the 3 of their papers we have counts for
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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…
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…
Automorphism groups and derivation algebras of finitely generated vertex operator algebras
C. Dong, R. L. Griess
We investigate the general structure of the automorphism group and the Lie algebra of derivations of a finitely generated vertex operator algebra. The automorphism group is isomorp…
Rank one lattice type vertex operator algebras and their automorphism groups, II: E-series
Chongying Dong, Robert L. Griess, Alex Ryba
Let L be the A_1 root lattice and G a finite subgroup of Aut(V_L), where is the associated lattice VOA (in this case, Aut(V) is isomorphic to PSL(2,\Bbb C)). The fixed point…