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广义baby TKK代数一类boson表示 被引量:1

A Class of the Boson Representations for the Extended Baby TKK Algebra
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摘要 利用文[3]中的结论构造群代数与对称代数在文[4]的基础上给出了广义baby TKK代数 g(g)的一类boson场表示. in this paper we construc: group algebra and symmetric algebra by using the rusult of [3]. As its application we give a class of the Boson Representations of the extended baby TKK algebra.
作者 李鸿萍
出处 《数学研究》 CSCD 2006年第4期388-393,共6页 Journal of Mathematical Study
基金 华侨大学校基金资助项目(06HZR05)
关键词 TKK代数 顶点算子表示 TKK algebra Verten sperator representation
  • 相关文献

参考文献7

  • 1Jacobson N.Structure and Represetation of Jordan Algebras.USA:Amer.Math.Soc.Colloq.Publ.1968.
  • 2Tan S.TKK algebras and vertex operator representations.J.Algebra,1999,211:298-342.
  • 3Stephen B,Gao Y,Tan S.A unified view of some vertex operator constructions.Israel Journal of Math.2003,134:29-60.
  • 4李鸿萍.TKK代数的一类表示[J].厦门大学学报(自然科学版),2005,44(4):453-457. 被引量:1
  • 5李清桂.广义Baby-TKK李代数的一类顶点表示[J].数学研究,2005,38(1):42-56. 被引量:3
  • 6Frenkel I B,Lepowsky J,Meurman A.Vertex operator algebras and the monster.Academic Press,Boston,1989.
  • 7Frenkel I B.Representations of affine Lie algebras.Hecke modular forms and Korteweg-De Vries type equation ina simple quantum torus with two variables.Contemporary Mathematics,1999,248:39-67.

二级参考文献7

  • 1Allison A, Azam S, Berman S, et al. Extended affine Lie algebras and their root systems[J]. Mem. Amer. Math.Soc. , 1997,603: 1- 122.
  • 2Jacobson N. Structure and Representations of Jordan Algebras[M]. USA: Amer. Math. Soc. Colloq. Publ. , 1968.
  • 3Tan S. TKK algebras and vertex operator representations[J]. J. Algebra, 1999,211:298-342.
  • 4Stephen B,Gao Y, Tan S. A unified view of some vertex operator constructions[J]. Israel Journal of Math. , 2003,134:29-60.
  • 5Frenkel I B, Lepowsky J, Meurman A. Vertex Operator Algebras and the Monster[M]. Boston: Academic Press,1989.
  • 6Frenkel I B. Representations of affine Lie algebras,Hecke modular forms and Korteweg-De Vries type equation ina simple quantum torus with two variables[J]. Contemporary Mathematics, 1999,248: 39 - 67.
  • 7谭绍滨.广义Virasoro-Toroidal李代数不可约模[J].数学年刊(A辑),2002,23(3):311-320. 被引量:4

共引文献2

同被引文献7

  • 1李清桂.广义Baby-TKK李代数的一类顶点表示[J].数学研究,2005,38(1):42-56. 被引量:3
  • 2Jacobson N. Structure and represetation of Jordan algebras [ M]. Providence : Amer Math Soc Colloq Publ, 1968.
  • 3Tan S. TKK algebras and vertex operator representations[ J]. J Algebra, 1999,211 : 298 -342.
  • 4Stephen B, Gao Y, Tan S. A unified view of some vertex operator constructions[J]. Israel Journal of Math, 2003, 134: 29 -60.
  • 5Frenkel I B, Lepowsky J,Meurman A. Vertex operator algebras and the Monster[ M]. Boston: Academic Press, 1989.
  • 6Frenkel I B. Representations of affine Lie algebras, Hecke modular forms and Korteweg - De Vries type equation in a simplequantum torus with two variables [ J ]. Contemporary Mathematics, 1999(248) : 39 -67.
  • 7谭绍滨.广义Virasoro-Toroidal李代数不可约模[J].数学年刊(A辑),2002,23(3):311-320. 被引量:4

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