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一类无限维半单李代数 被引量：22

A CLASS SEMI-SIMPLE LIE ALGEBRA
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摘要 研究了秩为2的Witt型的李代数W_2的子代数g1,讨论其同态,同构,核的性质.证明了g1为无限维半单李代数. In this paper, a infinite dimensional subalgebra of rank 2 of Witt type Lie algebra is studied. Its homomorphism, isomorphism and kernel are investigated.
作者 余德民 梅超群
机构地区 湖南理工学院数学系 首都经济贸易大学基础部
出处 《系统科学与数学》 CSCD 北大核心 2008年第9期1101-1108,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(10671061) 湖南省教育厅项目(06C375) 湖南省重点学科建设项目资助.
关键词 理想 中心 半单李代数 同构 Ideal, central, semi-simple Lie algebra, isomorphism
分类号 O152.5 [理学—基础数学] O153.4 [理学—基础数学]
  • 相关文献

参考文献16

  • 1Su Y and Zhao K. Simple algebra of weyl type. Science in China, Set. A, 2001, 44(4): 419-426.
  • 2Passman D. Simple Lie algebra of witt type. J. Algebra, 1998, 206: 682-692.
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  • 4余德民,卢才辉.Virasoro李代数的子代数若干结果[J].数学学报（中文版）,2006,49(3):633-638. 被引量：19
  • 5Guo J Y and Martinez-Villa R. Algebra pairs associated to Mckay quivers. Comm. in Algebras, 2002, 30(2): 1017-1032.
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二级参考文献8

  • 1Su Y.,Zhao K.,Generalized virasoro and super-virasoro algebras and modules of the intermediate series,J.Algebra,2002,252:1-19.
  • 2Lu C.,Shoo W.,Centralizer of L-Shape Lie algebra,Science in China,Ser.A,2004,34(2):185-191 (in Chinese).
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  • 8Passman D.,Simple Lie algebra of witt type,J.Algebra,1998,206:682-692.

共引文献18

同被引文献49

  • 1余德民,卢才辉.Virasoro李代数的子代数若干结果[J].数学学报（中文版）,2006,49(3):633-638. 被引量：19
  • 2余德民,卢才辉.李代数L(Z,f,δ)的特殊性质[J].数学进展,2006,35(6):707-711. 被引量：24
  • 3Lothaire M., Combinations on Words [M], Cambridge: Cambridge University Press, 1983.
  • 4Reutenauer C., Free Lie Algebras [M], Oxford: Clarendon Press, 1993.
  • 5Bocklandt R. and Le Bruyn L., Necklace Lie algebras and noncommunicative symplectic geometry [J], Math. Z., 2002, 240(1):141-167.
  • 6Guo J. Y. and Martinez Villa R., Algebra pairs associated to Mckay quivers [J], Comm. in Algebras, 2002, 30(2):1017-1032.
  • 7Peng Liangang, Lie algebras determined by finite Auslander Reiten quivers [J], Comm. in Algebras, 1998, 27(1):235-258.
  • 8Christophoridou C. and Kobotis A., The characteritic elements of special nilpotent Lie algebras of dimension ten [J]. Balkan J. Geom. Appl., 1999, 4(1):9- 17.
  • 9Y.Su.,K.Zhao.Generalized virasoro and super-virasoro Algebras and modules of the intermediate series[J].Algebra,2002,252:1-19.
  • 10Lu.C.,Shao.W.Centralizer of L-Shape Lie Algebra,Science in China (Series.4[J].2004,34(2):185-191.(in Chinese).

引证文献22

二级引证文献24

系统科学与数学
2008年 第9期

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