LIE ALGEBRA K(n,μj,m)OF CARTAN TYPE OF CHARACTERISTIC p=2. |
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作者姓名: | 张永正 林磊 |
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作者单位: | Department of Mathematics Northeast Normal University,Changchun,Jilin 130024,China.,Department of Mathematics,East China Normal University,Shanghai 200062,China. |
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摘 要: | Let K(n,μ_j,m),n=2r+1,denote the Lie algebra of characteristic p=2,which isdefined in [4].In the paper the restrietability of K(n,μ_j,m)is discussed and it is provedthat,when r≡1(mod 2)and r>1,1(ad.f)=n+1 if and only if 0≠f∈.Then theinvariance of some filtrations of K(n,μ_j,m)and the condition of isomorphism of K(n,μ_j,m)and K(n′,μ_j′,m′)are obtained.Besides,the generators and the derivation algebraof K(n,μ_l,m)are discussed.The results also hold,when r=0(mod 2)and r>0.
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