| 局部顶点李代数的有限直积 |
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| 引用本文： | 蒋蕾蕾,王宪栋.局部顶点李代数的有限直积[J].青岛大学学报(自然科学版),2007,20(3):22-25. |
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| 作者姓名： | 蒋蕾蕾 王宪栋 |
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| 作者单位： | 青岛大学,数学科学学院,青岛,266071 |
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| 摘 要： | 局部顶点李代数是一个新的代数结构,它和顶点代数有密切关系。本文定义了局部顶点李代数的有限直积,讨论了其对应的顶点代数的性质,尤其是得到有限个局部顶点李代数的直积对应的顶点代数同构于有限个顶点代数的直积。
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| 关 键 词： | 局部顶点李代数 顶点代数 直积 |
| 文章编号： | 1006-1037（2007）03-0022-04 |
| 收稿时间： | 2007-05-31 |
| 修稿时间： | 2007年5月31日 |
Finite Direct Product of Local Vertex Lie Algebras |
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| JIANG Lei-lei,WANG Xian-dong.Finite Direct Product of Local Vertex Lie Algebras[J].Journal of Qingdao University(Natural Science Edition),2007,20(3):22-25. |
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| Authors: | JIANG Lei-lei WANG Xian-dong |
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| Institution: | College of Mathematics, Qingdao University, Qingdao 266071, China |
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| Abstract: | Local vertex Lie algebra is of a new algebraic structure. The important relationship between localvertex Lie algebra and vertex algebra is stated so that we could construct a vertex algebra from local vertexLie algebra. Here, we define a notion of finite direct product local vertex Lie algebras and discuss theproperty of its corresponding vertex algebra, which is isomorphic to finite direct product vertex algebras. |
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| Keywords: | local vertex Lie algebra vertex algebra direct product |
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