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：

ScienceinChina,SerB. | 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

共 5 条

[1] ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
金宁
Science China Mathematics, 1992, (10) : 1191 - 1200
[2] AD-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE-ALGEBRAS OF CARTAN TYPE
JIN, N
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1992, 35 (10): : 1191 - 1200
[3] AD-NILPOTENT ELEMENTS, ISOMORPHISMS, AND THE WEISFEILER FILTRATION OF INFINITE-DIMENSIONAL MODULAR ODD CONTACT SUPERALGEBRAS
Mu, Qiang
Ren, Li
Zhang, Yongzheng
COMMUNICATIONS IN ALGEBRA, 2011, 39 (10) : 3581 - 3593
[4] Automorphisms of Infinite Dimensional Lie Algebras of Cartan Type
Jin Ning (Department of Mathematics
Acta Mathematica Sinica,English Series, 1997, (02) : 155 - 160
[5] Automorphisms of infinite dimensional Lie algebras of Cartan type
Jin Ning
Acta Mathematica Sinica, 1997, 13 (2) : 155 - 160

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