ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (S1): 117-125.

ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU

张永正, 王颖

Dept. of Math. Northeast Normal University, Changchun 130024, China

收稿日期:1993-12-03 修回日期:1994-06-13 出版日期:1996-12-31 发布日期:1996-12-31

ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU

Zhang Yongzheng, Wang Ying

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

摘要/Abstract

摘要： 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).

关键词: Derivation algebra, Restreted Lie algebra

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

张永正, 王颖. ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU[J]. 数学物理学报(英文版), 1996, 16(S1): 117-125.

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.

ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU

ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU

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