The rank two lattice type vertex operator algebras V_L^+ and their automorphism groups
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.math/0409409,
title = {The rank two lattice type vertex operator algebras V_L^+ and their automorphism groups},
author = {Chongying Dong and Robert L. Griess},
journal= {arXiv preprint arXiv:math/0409409},
year = {2007}
}
Comments
31 pages