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arXiv · 1206.3380

Extended Griess algebras and Matsuo-Norton trace formulae

Hiroshi Yamauchi
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Abstract

We introduce the Z_2-extended Griess algebra of a vertex operator superalgebra with an involution and derive the Matsuo-Norton trace formulae for the extended Griess algebra based on conformal design structure. We illustrate an application of our formulae by reformulating the one-to-one correspondence between 2A-elements of the Baby-monster simple group and N=1 c=7/10 Virasoro subalgebras inside the Baby-monster vertex operator superalgebra.

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Hiroshi Yamauchi. 2012-06-15. Extended Griess algebras and Matsuo-Norton trace formulae. https://arxiv.org/abs/1206.3380

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