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Rank One Lattice Type Vertex Operator Algebras and Their Automorphism Groups II. E-Series

By Chongying Dong, Robert L Griess and Alex Ryba


AbstractLet L be the A1 root lattice and let G be a finite subgroup of Au(V), where V=VL is the associated lattice VOA (in this case, Aut(V)≅PSL(2,C)). The fixed point sub-VOA, VG, was studied previously by the authors, who found a set of generators and determined the automorphism group when G is cyclic (from the “A-series”) or dihedral (from the “D-series”). In the present article, we obtain analogous results for the remaining possibilities for G, that it belong to the “E-series”: G≅Alt4, Alt5, or Sym4. For such L and G, the above VGL may be rational VOAs

Publisher: Academic Press.
Year: 1999
DOI identifier: 10.1006/jabr.1999.7853
OAI identifier:

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