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C_n^((1))型顶点算子代数的构造

A Kind of Vertex Operator Algebra of C_n^((1))
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摘要 以顶点算子表示为基础,构造出了一类Cn(1)型顶点算子代数,并对此种顶点算子进行了详细的计算,验证了Cn型复半单李代数的生成元可以嵌入到Cn(1)型顶点算子的分量中. In this paper,we give a kind of vertex operator algebra which is based on the reorientations of vertex operators of Cn^(1). We also make detailed calculation about this vertex operator,and proof that the complex semi simple lie algebras of Cn may be embedded in the components of the vertex operators.
作者 张良
出处 《伊犁师范学院学报(自然科学版)》 2010年第3期1-5,共5页 Journal of Yili Normal University:Natural Science Edition
关键词 顶点算子表示 顶点算子代数 KAC-MOODY代数 the reorientations of vertex operators vertex operator algebra Kac-Moody algebra
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参考文献5

  • 1R.Borcherds. Vertex algebras, Kac-Moody algebras and the Monster[J]. Proc. Natl. Acad Sci. USA, 1986, 83: 3068-3071.
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  • 3Yichao Xu.Vertex operators of Affine Lie Algebras with First kind[M]. Proceedings of the SEAMS Conference on Ordered Structures and Algebra of Computer Langueages, 1991.
  • 4V.G.Kac. Infinite-dimensional Lie algebras (third edition) [M]. Cambridge University Press, 1990.
  • 5C.Dng. Vertex algebras associated with even lattices [J]. J.Algebra, 1993, 160: 245-265.

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