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

The Derivation Algebra of Qn Filiform Lie Algebra 被引量：5

The Derivation Algebra of Qn Filiform Lie Algebra
下载PDF
导出
摘要 In this paper, we explicitly determine the maximal torus of the derivation algebra of a Qn filiform Lie algebra. Using the root space decomposition of DerQn, we prove that the derivation algebra of a Qn filiform Lie algebra is complete.
作者 WU Ming-zhong
机构地区 Department of Muinemaiics Chern Insti-tute of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第3期397-401,共5页 数学季刊（英文版）
关键词 maximal torus derivation algebra FILIFORM
分类号 O152.52 [理学—基础数学]
  • 相关文献

参考文献10

  • 1GOZE M, YU K. Nilpotent Lie Algebras[M]. London: Kluwer Academic Publisher, MIA361, 1996.
  • 2KNAPP A W. Lie Group, Lie Algebra and Cohomology[M]. Preceton: Pre Univ Press, 1988.
  • 3MEBG Dao-ji, Some results on complete Lie algebras[J]. Comm Algebra, 1994,22: 5457-5507.
  • 4MENG Dao-ji, ZHU Ling-sheng, JIANG Cui-boo Complete Lie Algebra[M]. Beijing: Science Press, 2001: 85-86.
  • 5MENG Dao-ji, ZHU Ling-sheng. Solvable complete Lie algebras I[J]. Comm Algebra, 1996, 24: 4181-4197.
  • 6MOSTOW G D. Fully reducible subgroup of algebraic group],l]. Amer J Math, 1956, 78: 200-221.
  • 7SAGLE A A, WALDE R E. Introduction to Lie Group and Lie Algebras[M]. New York: Academic Press, 1973.
  • 8SCHENKAN E. A theory of subinvariant Lie algebras[J]. Amer J Math, 1951, 73: 453-474.
  • 9VERGNE M. Variete des algebres de Lie Nilpotentes[M]. Paris: Kluwer Academic Publishier, 1966.
  • 10WU Ming-zhong.The Solvable Lie Algebras with Filiform R_n Nilradicals[J].Chinese Quarterly Journal of Mathematics,2011,26(1):100-107. 被引量：3

二级参考文献15

  • 1ANCOCHEA J M.On Lie algebras whose nilradical is (n-p)-filiform[J].Comm Algebra,1998,29:427-450.
  • 2JIANG C P.Some complete Lie Algebras[J].J Journal Algebra,1996,186:807-817.
  • 3MENG Dao-ji.Some results on complete Lie algebras[J].Comm Algebra,1994,22:5457-5507.
  • 4MENG Dao-ji.Solvable complete Lie algebras I[J].Comm Algebra,1996,24:4181-4197.
  • 5SCHENKANE.A theory of subinvariant Lie algebras[J].Am J Math,1951,73:453-474.
  • 6MOSTOW G D.Fully reducible subgroups of algebraic groups[J].Am J Math,1956,78:200-221.
  • 7GOZE M.Nilpotent Lie Algebra[M].Dordrecht:Kluwer Academic Publishiers,1996,41-42,231-235.
  • 8ZHOU H C.The automorphism group of solvable complete Lie algebra whose nilpotent radical is a Heisenberg algebra[J].Sci Nat Qufu Normal Univ,1999,1:23-25.
  • 9SNOB L.A class of solvable Lie algebras and their Casimir invariants[J].Arxiv Math,2004,3:1-4.
  • 10LEGER G.On derivations and holomorphs of nilpotent Lie algebra[J].Nagoya Math,1971,44:39-50.

共引文献2

同被引文献20

  • 1Shi Rong LI.On-Abnormal Maximal Subgroups of Finite Groups[J].Acta Mathematica Sinica,English Series,2007,23(5):885-888. 被引量：3
  • 2吴明忠.L_n Filiform李代数的导子代数(英文)[J].西华师范大学学报（自然科学版）,2007,28(4):298-301. 被引量：4
  • 3DESKINS W E. On maximal subgroups[J]. Proc Symp Pure Math, 1959, 1: 100-104.
  • 4LI Shi-rong, ZHAO Yao-qing. The Deskins index complex and the solvability of finite groups[J]. Southeast Asian Bull Math, 1998, 22: 291-299.
  • 5LI Shi-rong. The Deskins index complex and the supersolvability of finite groups[J]. J Pure Appl Algebra, 1999, 144: 297-302.
  • 6LI Shi-rong, ZHAO Yao-qing. On s-completions of maximal subgroups of finite groups[J]. Algebra Colloq, 2004, 11: 411-420.
  • 7XU Ming-yao. Introduction to Finite Group[M]. Beijing: Science Press, 1999.
  • 8WANG Yan-ming. c-normality of groups and its properties[J]. J Algebra, 1996, 180: 954-965.
  • 9ROSE J S. On finite insoluble groups with nilpotent maximal subgroups[J]. J Algebra, 1977, 48: 182-196.
  • 10范素军,周檬,崔丽娟.幂零李代数的导子代数的结构[J].河北师范大学学报（自然科学版）,2009,33(5):567-569. 被引量：6

引证文献5

二级引证文献1

Chinese Quarterly Journal of Mathematics
2013年 第3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