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 al...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).展开更多
文摘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).