The rank two lattice type vertex operator algebras Vₗ+ and their automorphism groups

الأصل · EN

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.