Associative subalgebras of the Griess algebra and related topics
classification
q-alg
math.QA
keywords
algebragriessassociativecertainsubalgebrasdeterminesdiscretefrenkel-lepowsky-meurman
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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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