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 vecto...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.展开更多
In this paper, for the highest weight module V4 of sl（2,C） with the highest weight 4, we describe subalgebras Sβ（V4）＋ and Sγ（V4）＋ of the βγ-system coset S（V4）＋ by giving their generators. These eoset su...In this paper, for the highest weight module V4 of sl（2,C） with the highest weight 4, we describe subalgebras Sβ（V4）＋ and Sγ（V4）＋ of the βγ-system coset S（V4）＋ by giving their generators. These eoset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.展开更多
基金Supported by the National Natural Science Foundation (10471034) Supported by the Provincial Foundationof Outstanding Young Scholars of Henan (0512000100) Supported by the Foundation of Henan University (05YBZR013)
基金Supported by the Projects of National Nature Science Foundation of China:Mathematical Tianyuan Foundation(11126156)the Collaborative Project of Theoretical Physics(11047030)
基金supported by The Key Research Project of Institutions of Higher Education in Henan Province,P.R.China(No.17A11003)
文摘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.
基金Supported in part by National Natural Science Foundation of China under Grant No. 10971071the Outstanding Youth Fund of Henan Province under Grant No. 0512000100Innovation Fund of Colleges and Universities in Henan Province
文摘In this paper, we construct a new algebra structure 7-twisted affine Lie algebra ■[θ] and study itsvertex operator representations.
基金Supported by National Natural Science Foundation of China (10971071)Provincial Foundation of Innovative Scholars of Henan
文摘In this paper, for the highest weight module V4 of sl（2,C） with the highest weight 4, we describe subalgebras Sβ（V4）＋ and Sγ（V4）＋ of the βγ-system coset S（V4）＋ by giving their generators. These eoset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.
