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Associative subalgebras of the Griess algebra and related topics

C. Dong·H. Li·G. Mason·S. P. Norton
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Abstract

It is shown how certain idempotents in the Griess algebra generate the discrete series representations for the Virasoro algebra inside the Frenkel-Lepowsky-Meurman's moonshine module vertex operator algebra. It is also shown that each Niemeier lattice determines (in many ways) certain maximal associative subalgebras of the Griess algebra.

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C. Dong, H. Li, G. Mason, S. P. Norton. 1996-07-09. Associative subalgebras of the Griess algebra and related topics. https://arxiv.org/abs/q-alg/9607013

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