ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LI

• 作 者: 金宁
• 机 构: DempartmentofMthematics,NanjingUniversity,Nanjing210008,PRC.
• 出 处: Science in China,Ser.B
• 发表日期: 1992年10期
• 关键词: nilpotent algebra Cartan infinite filtration invariant proof automorphism arbitr

Let F be an arbitrary field of characteristic p≠2, and L be an infinite Lie, algebra ofCartan type (graded or complete). When p】3 (or p is arbitrary), the set of ad-nilpotent(or quasi-nilpotent) elements of L is determined. Consequently, it is proved that