Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (S1): 117-125.
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Zhang Yongzheng, Wang Ying
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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
Zhang Yongzheng, Wang Ying. ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU[J].Acta mathematica scientia,Series B, 1996, 16(S1): 117-125.
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