| 李代数sl(2,(C))的仿射李代数的顶点算子表示和顶点代数模 |
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| 引用本文： | 楚彦军,郑驻军. 李代数sl(2,(C))的仿射李代数的顶点算子表示和顶点代数模[J]. 河南大学学报(自然科学版), 2009, 39(6) |
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| 作者姓名： | 楚彦军 郑驻军 |
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| 作者单位： | 华南理工大学,数学系,广州,510641;河南大学,数学研究所,开封,475001;华南理工大学,数学系,广州,510641;河南大学,数学研究所,开封,475001 |
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| 基金项目： | 国家自然科学基金资助项目，河南省高校创新人才培养对象的资助 |
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| 摘 要： | 根据 untwisted 和 twisted顶点算子张成的极大局部子空间能够定义顶点代数结构,考虑李代数s l(2,C)的仿射李代数的顶点算子表示V_Q, V_P,V_(P±(1)/(6)α1),发现 V_P,V_(P-(1)/(6)α1),V_(P+(1)/(6)α1)构成这些顶点代数的模,而这种顶点代数模结构可能在二维共形场论中有重要应用.
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| 关 键 词： | 仿射李代数 局部子空间 顶点代数模 |
Vertex Operator Representations and Vertex Algebra Modules of Affine Lie Algebras Associated to Lie Algebra s l(2, (C)) |
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| CHU Yan-jun,ZHENG Zhu-jun. Vertex Operator Representations and Vertex Algebra Modules of Affine Lie Algebras Associated to Lie Algebra s l(2, (C))[J]. Journal of Henan University(Natural Science), 2009, 39(6) |
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| Authors: | CHU Yan-jun ZHENG Zhu-jun |
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| Affiliation: | CHU Yan-jun1,2,ZHENG Zhu-jun1,2(1.College of Mathematics,South China University of Technology,Guang zhou 510641,China,2.Institute of Mathematics,Henan Unvevsity,Henan Kaifeng 475001,China.) |
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| Abstract: | According to constructions of vertex operator representations V_Q, V_P,V_(P±(1)/(6)α1) of affine Lie algebras associated to S l(2, (C) ) , the paper finds that V_P,V_(P-(1)/(6)α1),V_(P+(1)/(6)α1) are indeed modules of some vertex algebras on maximal local spaces spanned by untwisted and twisted vertex operators. These structures of muldes of vertex algebras may have important applications in the theory of two-dimensional conformal fields. |
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| Keywords: | affine Lie algebra local subspace modules of vertex algebra |
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