| 扭的Heisenberg-Virasoro顶点算子代数的一个特征化（英文） |
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| 引用本文： | 程俊芳,楚彦军.扭的Heisenberg-Virasoro顶点算子代数的一个特征化（英文）[J].数学季刊,2019(2):126-137. |
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| 作者姓名： | 程俊芳 楚彦军 |
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| 作者单位： | School of Mathematics and Statistics;Institute of Contemporary Mathematics |
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| 基金项目： | supported by The Key Research Project of Institutions of Higher Education in Henan Province,P.R.China(No.17A11003) |
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| 摘 要： | 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.
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| 关 键 词： | Twisted Heisenberg-Virasoro ALGEBRA Vertex operator ALGEBRA Semi-conformal vector Semi-conformal SUBALGEBRA |
A Characterization of The Twisted Heisenberg-Virasoro Vertex Operator Algebra |
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| CHENG Jun-fang,CHU Yan-jun.A Characterization of The Twisted Heisenberg-Virasoro Vertex Operator Algebra[J].Chinese Quarterly Journal of Mathematics,2019(2):126-137. |
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| Authors: | CHENG Jun-fang CHU Yan-jun |
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| Abstract: | 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. |
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| Keywords: | Twisted Heisenberg-Virasoro algebra Vertex operator algebra Semi-conformal vector Semi-conformal subalgebra |
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