扭的Heisenberg-Virasoro顶点算子代数的一个特征化（英文）

The twisted Heisenberg-Virasoro algebra is the universal central extension of the Lie algebra of differential operators on a circle of order at most one. In this paper, we first study the variety of semi-conformal vectors of the twisted Heisenberg-Virasoro vertex operator algebra, which is a finite set consisting of two nontrivial elements. Based on this property,we also show that the twisted Heisenberg-Virasoro vertex operator algebra is a tensor product of two vertex operator algebras. Moreover, associating to properties of semi-conformal vectors of the twisted Heisenberg-Virasoro vertex operator algebra, we charaterized twisted Heisenberg-Virasoro vertex operator algebras. This will be used to understand the classification problems of vertex operator algebras whose varieties of semi-conformal vectors are finite sets.     

Realization of Vertex Operators of 7-Twisted Affine Lie Algebra sl（3,C）[θ]

In this paper, we construct a new algebra structure 7-twisted atone Lie algebra sl（3,C）[θ] and study its vertex operator representations.     

A result on certain coset subalgebras of the βγ-system

In this paper, for the highest weight module V₄ of sl(2,C) with the highest weight 4, we describe subalgebras S_β(V₄)^θ+ and S_γ(V₄)^θ+ of the βγ-system coset S(V₄)^θ+ by giving their generators. These coset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.