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：

暂无

中图分类号：

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.

引用

页码：1191 / 1200

页数：10

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