The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three

Details The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three

2005-08-10

arxiv.org/abs/math/0508175v1

Pacific Journal of Mathematics 230(2007) 469-510

Mathematics

Quantum Algebra

40 pages

Scientific paper

We study the subalgebra of the lattice vertex operator algebra
$V_{\sqrt{2}A_2}$ consisting of the fixed points of an automorphism which is
induced from an order 3 isometry of the root lattice $A_2$. We classify the
simple modules for the subalgebra. The rationality and the $C_2$-cofiniteness
are also established.

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