ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE

被引：0
|
作者：
金宁
机构：
[1] Nanjing University
[2] Nanjing 210008
[3] Dempartment of Mthematics
[4] PRC.
来源：
Science China Chemistry | 1992年 / Ser.B.1992卷 / 10期
关键词：
Lie algebras of Cartan type; ad-nilpotent elements; quasi-nilpotent elements; filtration;
D O I：
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学科分类号：
摘要：
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 the naturalfiltration and the noncontractible filtration of L are invariant.
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页码：1191 / 1200
页数：10
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