山内 博

In this paper, we study McKay's E-6-observation on the largest Fischer 3-transposition group Fi(24). We investigate a vertex operator algebra VF(sic) of central charge 2315 on which the Fischer group Fi(24) naturally acts. We show that there is a ...

For a class of vertex operator algebras including the Moonshine module, we will show that the product of two Miyamoto involutions associated to derived c=7/10 Virasoro vectors in certain commutant vertex operator algebras is an element of order at...

In this article we review the proof of a weak version of the FLM conjecture in [LY2]. Namely, we prove that a holomorphic c = 24 framed vertex operator algebra is isomorphic to the moonshine VOA if and only if its weight one subspace is trivial. A...