# Vertex operator algebras, extended $E_8$ diagram, and McKay's observation on the Monster simple group

@article{Lam2004VertexOA,
title={Vertex operator algebras, extended \$E\_8\$ diagram, and McKay's observation on the Monster simple group},
author={Ching Hung Lam and Hiromichi Yamada and Hiroshi Yamauchi},
journal={Transactions of the American Mathematical Society},
year={2004},
volume={359},
pages={4107-4123}
}
• Published 29 February 2004
• Mathematics
• Transactions of the American Mathematical Society
We study McKay's observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E 8 diagram, using the theory of vertex operator algebras (VOAs). We first consider the sublattices L of the E 8 lattice obtained by removing one node from the extended Eg diagram at each time. We then construct a certain coset (or commutant) subalgebra U associated with L in the lattice VOA V √2E8 . There are two natural conformal vectors of central charge 1/2…
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This paper is a continuation of (33) at which several coset subalgebras of the lattice VOA Vp 2E8 were constructed and the relationship between such algebras with the famous McKay observation on the
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THIS is a text–book intended primarily for undergraduates. It is designed to give a broad basis of knowledge comprising such theories and theorems in those parts of algebra which are mentioned in the