Journal of East China Normal University(Natural Sc ›› 2003, Vol. 2003 ›› Issue (2): 6-10.

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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

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