期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Cartan型李代数的不可约表示 被引量：4

Irreducible Representations of Cartan-type Lie Algebras
下载PDF
导出
摘要 利用广义限制李代数的概念和性质,研究Cartan型李代数L=X(m,n)(X=W,S,H)的不可约表示,给出了特征标高度h(2≤h<p-2)的不可约L-模的结构. Let L = X（m,n） （X = W, S, H） be a Lie algebra of Cartan type. Based on the concept of generalized restricted Lie algebras, the paper presents a study of the irreducible representations of Cartan-type Lie algbras L and the structure of irreducible modules is determined whose character height is no less than 2 and less than p - 2.
作者 吴隋超 蒋志洪 濮燕敏
机构地区 同济大学数学系
出处 《同济大学学报（自然科学版）》 EI CAS CSCD 北大核心 2009年第2期281-284,共4页 Journal of Tongji University:Natural Science
基金 国家自然科学基金资助项目(10671142) 博士点专项基金资助项目(20040247024)
关键词 CARTAN型李代数 广义限制李代数 特征标 不可约模 Lie algebras of Cartan type generalized restricted Lie algebras characters irreducible modules
分类号 O15 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Shu B. The generalized restricted representations of graded Lie algebras of Cartan type[J]. J Algebra, 1997,194:157.
  • 2Strade H. Representations of the Witt algebra[J]. J Algebra, 1977,49:595.
  • 3Holmes R R. Simple modules with character height at most one for the restricted Witt algebras[J]. J Algebra, 2001,237 : 446.
  • 4Holmes R R. Zhang C. Some simple modules for the restricted Cartan-type Lie algebras [J]. J Pure Appl Algebra, 2002, 173 : 135.
  • 5Zhang C. On simple modules for the restricted Lie algebras of Cartan type[J]. Comm Algebra, 2002,30: 5393.
  • 6Zhang C. Representations of the restricted Lie algebras of Cartan type[J]. J Algebra, 2005,290: 408.
  • 7Shu B. The realizations of primitive p-envelopes and the support varieties for graded Cartan type Lie algebras[J]. Comm Algebra, 1997,25 : 3209.
  • 8Shu B. Generalized restricted Lie algebras and representations of the Zassenhaus algebra[J]. J Algebra, 1998,204: 549.
  • 9Strade H. Farnsteiner R. Modular Lie Algebras and their representations[M]. New York: Dekker, 1988.

同被引文献36

  • 1Shu Bin.The generalized restricted representations of graded Lie algebras of Caftan type[J].J Algebra,1997,194:157-177.
  • 2Strade H.Representations of the Witt algebra[J].J Algebra,1977,49:595-605.
  • 3Chang H.Uber Witt sche Lie-ringe[J].Abh Math Sere Uuiv Hamburg,1941,14:151-184.
  • 4Shen Guangyu.Graded modules for graded Lie algebras of Cartan type (I)[J].Sci Sinica,1986,29:570-581.
  • 5Shen Guangyu.Graded modules for graded Lie algebras of Cartan type (Ⅱ)[J].Sci Sinica,1986,29:1009-1019.
  • 6Shen Guangyu.Graded modules for graded Lie algebras of Cartan type (Ⅲ)[J].Chin Ann Math,1988,9B(4):404-417.
  • 7Hu Naihong.The graded modules for graded contact Caftan algebras[J].Comm Algebra,1994,22:4475-4497.
  • 8Hu Naihong.Irreducible constituents of graded modules for graded contact Lie algebras of Cartan type[J].Comm Algebra,1994,22:5951-5971.
  • 9Holmes R R.Simple modules with character height at most one for the restricted Witt algebras[J].J Algebra,2001,237:446-469.
  • 10Holmes R R,Zhang Chaowen.Some simple modules for the restricted Caftan-type Lie algebras[J].J Pure Appl Algebra,2002,173:135-165.

引证文献4

二级引证文献1

同济大学学报（自然科学版）
2009年 第2期

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