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ON THE LIE ALGEBRA OVER CHARACTERISTIC TWO OF SHEN GUANGYU

ON THE LIE ALGEBRA OVER CHARACTERISTIC TWO OF SHEN GUANGYU
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摘要 In this paper the derivation algebra of Lie algebra Σof 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 GrΣ is isomorphic to H(2n + 2.r). In this paper the derivation algebra of Lie algebra Σof 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 GrΣ is isomorphic to H(2n + 2.r).
作者 张永正 王颖
出处 《Acta Mathematica Scientia》 SCIE CSCD 1996年第S1期117-125,共9页 数学物理学报(B辑英文版)
关键词 Derivation algebra Restreted Lie algebra Derivation algebra, Restreted Lie algebra

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