The rank two lattice type vertex operator algebras VL+ and their automorphism groups
Chongying Dong, Robert L. Griess
Abstract
Let L be a positive definite even lattice and VL+ be the fixed points of the lattice VOA VL associated to L under an automorphism of VL lifting the -1 isometry of L. For any positive rank, the full automotphism group of VL+ is determined if L does not have vectors of norm 2 or 4. For any L of rank 2, a set of generators and the full automorphism group of VL+ are determined.
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