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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115599In 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.16 pagesQuantum AlgebraGroup Theory17B696-transposition property of $τ$-involutions of vertex operator algebrastext