3 papers
math.QA2006
6-transposition property of -involutions of vertex operator algebras
Shinya Sakuma
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…
math.QA2005
Ising vectors and automorphism groups of commutant subalgebras related to root systems
Ching Hung Lam, Shinya Sakuma, Hiroshi Yamauchi
In this article we study and obtain a classification of Ising vectors in vertex operator algebras associated to binary codes and times root lattices, where an Ising vect…
math.QA2002
Vertex operator algebra with two Miyamoto involutions generating
Shinya Sakuma, Hiroshi Yamauchi
In this article we study a VOA with two Miyamoto involutions generating . In \cite{M3}, Miyamoto showed that a VOA generated by two conformal vectors whose Miyamoto involution…