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

Mathematics – Quantum Algebra

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31 pages

Scientific paper

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 positive rank, the full automotphism group of V_L^+ 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 V_L^+ are determined.

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