3-transposition groups of symplectic type and vertex operator algebras (2005)
The 3-transposition groups that act on vertex operator algebras in the way described by Miyamoto in [Mi] are classified under the assumption that the group is centerfree and the VOA carries a...
Quasi-finite algebras graded by Hamiltonian and vertex operator algebras (2005)
Matsuo, Atsushi, Nagatomo, Kiyokazu, Tsuchiya, Akihiro
A general notion of a quasi-finite algebra is introduced as an algebra graded by the set of all integers equipped with topologies on the homogeneous subspaces satisfying certain properties. An...
3-Transposition Groups of Symplectic Type and Vertex Operator Algebras (2003)
The 3-transposition groups that act on a vertex operator algebra in the way described by Miyamoto are classified under the assumption that the group is centerfree and the VOA carries a...
Formulae expressing the trace of the composition of several (up to five) adjoint actions of elements of the Griess algebra of a vertex operator algebra are derived under certain assumptions on the...
On axioms for a vertex algebra and the locality of quantum fields (1997)
Matsuo, Atsushi, Nagatomo, Kiyokazu
The identities satisfied by two-dimensional chiral quantum fields are studied from the point of view of vertex algebras. The Cauchy-Jacobi identity (or the Borcherds identity) for three mutually...
A note on free bosonic vertex algebra and its conformal vectors (1997)
Matsuo, Atsushi, Nagatomo, Kiyokazu
We classify all the Heisenberg and conformal vectors and determine the full automorphism group of the free bosonic vertex algebra without gradation. To describe it we introduce a notion of inner...
The surface tension of high polymers /--by Atsushi Matsuo. (1956)
Thesis (B.S.) Massachusetts Institute of Technology. Dept. of Chemical Engineering, 1956.