Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (S1): 117-125.

• Articles • Previous Articles     Next Articles

ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU

Zhang Yongzheng, Wang Ying   

  1. Dept. of Math. Northeast Normal University, Changchun 130024, China
  • Received:1993-12-03 Revised:1994-06-13 Online:1996-12-31 Published:1996-12-31

Abstract: In this paper the derivation algebra of Lie algebra Σ of characteristic two is determined. Using this result we obtain the necessary and sufficient condition under that Σ of characteristic two is the restreted Lie algebra. Finally we prove that Σ of characteristic two isn't isomorphic the Lie algebras of characteristic two which are known by authors of this paper. But it still is a filtered deformation of the Lie algebra of H-type i.e. Its associated grated algebra Gr Σ is isomorphic to H(2n + 2.r).

Key words: Derivation algebra, Restreted Lie algebra

Trendmd