数学物理学报(英文版)

• 论文 • 上一篇    下一篇

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

张庆成; 张永正   

  1. 东北师范大学与统计学院, 长春 130024
  • 收稿日期:2005-12-28 修回日期:2006-12-26 出版日期:2008-10-20 发布日期:2008-10-20
  • 通讯作者: 张庆成
  • 基金资助:

    Supported by National Natural Science Foundation of China (10271076)

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

Zhang Qingcheng; Zhang Yongzheng   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2005-12-28 Revised:2006-12-26 Online:2008-10-20 Published:2008-10-20
  • Contact: Zhang Qingcheng

摘要:

In this article, the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer(L) and central extension H2(L, F) on some Lie color algebras. Meanwhile, they generalize the notion of double extension to quadratic Lie color algebras, a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given.

关键词: Derivation, central extension, double extension, quadratic Lie color algebra

Abstract:

In this article, the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer(L) and central extension H2(L, F) on some Lie color algebras. Meanwhile, they generalize the notion of double extension to quadratic Lie color algebras, a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given.

Key words: Derivation, central extension, double extension, quadratic Lie color algebra

中图分类号: 

  • 17B40