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

Kenichiro Tanabe·Hiromichi Yamada
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Abstract

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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BibTeXRIS

Kenichiro Tanabe, Hiromichi Yamada. 2005-08-10. The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three. https://arxiv.org/abs/math/0508175

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