Hiroki Shimakura

Orbifold Construction of Holomorphic Vertex Operator Algebras Associated to Inner Automorphisms

In this article, we construct three new holomorphic vertex operator algebras of central charge 24 using the

A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type {A_{6,7}}

{\mathbb{Z}_{2}}

On isomorphism problems for vertex operator algebras associated with even lattices

Z2-orbifold construction associated to inner automorphisms. Their weight one subspaces have the Lie algebra structures D7,3A3,1G2,1, E7,3A5,1, and

Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24

{A_{8,3}A_{2,1}^2}

Lifts of automorphisms of vertex operator algebras in simple current extensions

A8,3A2,12. In addition, we discuss the constructions of holomorphic vertex operator algebras with Lie algebras A5,6C2,3A1,2 and