The rank two lattice type vertex operator algebras V + L and their automorphism groups
نویسندگان
چکیده
Let L be a positive definite even lattice and V + L 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 automorphism group of V + L is determined if L does not have vectors of norms 2 or 4. For any L of rank 2, a set of generators and the full automorphism group of V + L are determined. 1991 Mathematics Subject Classification. Primary 17B69. The first author is supported by NSF grants, a NSF grant of China and a research grant from UC Santa Cruz. The second author is supported by NSA grant USDOD-MDA904-03-1-0098.
منابع مشابه
v 2 7 N ov 1 99 7 Rank one lattice type vertex operator algebras and their automorphism groups
Let L be a positive definite even lattice of rank one and V + L be the fixed points of the lattice VOA VL associated to L under an automorphism of VL lifting the −1 isometry of L. A set of generators and the full automorphism group of V + L are determined.
متن کامل0 O ct 1 99 7 Rank one lattice type vertex operator algebras and their automorphism groups
Let L be a positive definite even lattice of rank one and V + L be the fixed points of the lattice VOA VL associated to L under an automorphism of VL lifting the −1 isometry of L. A set of generators and the full automorphism group of V + L are determined.
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