华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (2): 6-10.

• 论文 • 上一篇    下一篇

特征2李代数G2变形的中心扩张

李可峰1；林磊2   

  1. 1 济南大学 数学系，济南 250002； 2 华东师范大学 数学系，上海 200062
  • 收稿日期:2001-04-09 修回日期:2001-12-16 出版日期:2003-04-15 发布日期:2003-04-15

One -dimensional Central Extensions for Variations of G2 of Characteristic 2

LI Ke-feng1; LIN Lei2   

  1. 1 Department of Mathematics, Jinan University, Jinan 250002,China; 2 Department of Mathematics, East China Normal University, Shanghai 200062,China
  • Received:2001-04-09 Revised:2001-12-16 Online:2003-04-15 Published:2003-04-15

摘要： 该文决定了特征2代数闭域F上G2的变形的一维中心扩张。

关键词: 一维中心扩张, 2-上循环, 特征2李代数, 一维中心扩张, 2-上循环, 特征2李代数

Abstract: In this paper,we determine all these 1-dimensional central extensions for some variation of the classical Lie algebra G2 over a field F of characteristic 2,which were introduced by Prof. Guangyu Shen in [1].

Key words: central extensions, Lie algebras of char 2, 2-cocycles, central extensions, Lie algebras of char 2