Rank One Lattice Type Vertex Operator Algebras and Their Automorphism Groups
نویسندگان
چکیده
منابع مشابه
The rank two lattice type vertex operator algebras V + L and their automorphism groups
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 Mathemat...
متن کاملv 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.
متن کاملCompact automorphism groups of vertex operator algebras
Let V be a simple vertex operator algebra which admits the continuous, faithful action of a compact Lie group G of automorphisms. We establish a Schur-Weyl type duality between the unitary, irreducible modules for G and the irreducible modules for V G which are contained in V where V G is the space of G-invariants of V. We also prove a concomitant Galois correspondence between vertex operator s...
متن کامل3-transposition Groups of Symplectic Type and Vertex Operator Algebras
The 3-transposition groups that act on a vertex operator algebra in the way described by Miyamoto in [Mi1] are classified under the assumption that the group is centerfree and the VOA carries a positive-definite invariant Hermitian form. This generalizes and refines the result of Kitazume and Miyamoto [KM]. Application to a similar but different situation is also considered in part by a slight ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7498