期刊文献+

广义Baby-TKK李代数的一类顶点表示 被引量:3

A Class of the Vertex Representation of the Extended Baby-TKK Lie Algebra
下载PDF
导出
摘要 利用广义 Virasoro- Toroidal李代数的顶点表示理论研究了广义 Baby- TKK李代数的一类顶点表示 . The author studies the vertex representatio n of the extended Baby-TKK Lie algebra by using the vertex representation theor y of the extended Virasoro-Toroidal Lie algebra.
作者 李清桂
出处 《数学研究》 CSCD 2005年第1期42-56,共15页 Journal of Mathematical Study
基金 国家自然科学基金项目 No.1 0 371 1 0 0
关键词 广义Baby-TKK李代数 顶点表示 The extended Baby-TKK Lie algebra Vertex representa tion
  • 相关文献

参考文献1

二级参考文献14

  • 1Billig, Y., Principal vertex operator representations for Toroidal Lie algebras [J], J.Math. Phys., 39(1998), 3844-3864.
  • 2Berman, S., Jurisich, E. & Tan, S., Beyond Borcherds Lie algebras and inside [J], Trans.Amer. Math. Soc., 353(2001), 1183-1219.
  • 3Berman, S. & Moody, R. V., Lie algebras graded by the finite root systems and the intersection matrix algebras of Slodowy [J], Invent. Math., 108(1992), 323-347.
  • 4Eswara Rao, S. & Moody, R. V., Vertex representations for n-Toroidal Lie algebras and a generalization of the Virasoro algebras [J], Commun. Math. Phys., 159(1994),239-264.
  • 5Frenkel, I. B. & Kac, V. G., Basic representations of affine Lie algebras and dual resonance modules [J], Invent. Math., 62(1980), 23-66.
  • 6Frenkel, I. B., Lepowsky, J. & Meurman, A., Vertex operator algebras and the monster[M], Academic Press, Boston, 1989.
  • 7Fabbri, M. & Moody, R. V., Irreducible representations of Virasoro-Toroidal Lie algebras[J], Commun. Math. Phys., 159(1994), 1-13.
  • 8Fabbri, M. & Okoh, F., Representations of Virasoro-Heisenberg algebras and VirasoroToroidal algebras [J], Canadian J. Math., 51(1999), 523-545.
  • 9Kac, V. G., Kazhdan, D. A., Lepowsky, J. & Wilson, R. L., Realization of the basic representations of the Euclidean Lie algebras [J], Adv. in Math., 42(1981), 83-112.
  • 10Kac, V. G. & Raina, A. K., Bombay lectures on highest weight representations of infinite dimensional Lie algebras [M], World Sci. Pub., 1987.

共引文献3

同被引文献13

  • 1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
  • 2李鸿萍.广义baby TKK代数一类boson表示[J].数学研究,2006,39(4):388-393. 被引量:1
  • 3Jacobson N.Structure and Represetation of Jordan Algebras.USA:Amer.Math.Soc.Colloq.Publ.1968.
  • 4Tan S.TKK algebras and vertex operator representations.J.Algebra,1999,211:298-342.
  • 5Stephen B,Gao Y,Tan S.A unified view of some vertex operator constructions.Israel Journal of Math.2003,134:29-60.
  • 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.
  • 8Jacobson N. Structure and represetation of Jordan algebras [ M]. Providence : Amer Math Soc Colloq Publ, 1968.
  • 9Tan S. TKK algebras and vertex operator representations[ J]. J Algebra, 1999,211 : 298 -342.
  • 10Stephen B, Gao Y, Tan S. A unified view of some vertex operator constructions[J]. Israel Journal of Math, 2003, 134: 29 -60.

引证文献3

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部