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6-transposition property of $τ$-involutions of vertex operator algebras

Shinya Sakuma
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Abstract

In this paper, we study the subalgebra generated by two Ising vectors in the Griess algebra of a vertex operator algebra. We show that the structure of it is uniquely determined by some inner products of Ising vectors. We prove that the order of the product of two $τ$-involutions is less than or equal to 6 and we determine the inner product of two Ising vectors.

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BibTeXRIS

Shinya Sakuma. 2006-08-29. 6-transposition property of $τ$-involutions of vertex operator algebras. https://arxiv.org/abs/math/0608709

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