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

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

2006-08-29

arxiv.org/abs/math/0608709v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

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 $\tau$-involutions is less than or equal to 6
and we determine the inner product of two Ising vectors.

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