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一类单完备李代数
  • ISSN号：1000-8314
  • 期刊名称：数学年刊A辑(中文版)
  • 时间：0
  • 页码：401-410
  • 语言：中文
  • 分类：O175.5[理学—数学;理学—基础数学]
  • 作者机构：[1]常熟理工学院数学系,江苏常熟215500
  • 相关基金：国家自然科学基金（No.10671027,No.10825101）资助的项目.感谢审稿专家给出的宝贵修改建议.
  • 相关项目：李代数及相关代数的结构与无限维表示
作者： 法焕霞|李军波|
关键词： 导子代数, 内导子, 单完备李代数, Derivation algebra, Inner derivations, Simple complete Lie algebras
中文摘要：

确定了代数％，b，c的导子代数，其中Va，b，c是由非交换代数Ca,b,c[X±1,Y±1,Z±1]的所有内导子所张成的李代数，证明了导子代数Va，b，c是由所有内导子和3个外导子D1，0，0，D0，1，0，D0，0，1张成的，同时还给出了一类无限维的单完备李代数．

英文摘要：

The derivation algebra of the algebra Va,b,c is determined in this paper, where Va,b,c denotes the Lie algebra of inner derivations of the algebra Ca,b,c[X^±1, Y^±1, Z^±1]. It is proved that the Lie algebra of derivations of Va,b,c is spanned by the inner derivations and three outer derivations D1,0,0, D0,1,0 and D0,0,1. As a result, an infinite simple complete Lie algebra is presented.

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李代数及相关代数的结构与无限维表示
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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264