Invariants for Automorphisms of the Underlying Algebras Relative to Lie Algebras of Cartan Type

被引:0
作者
Sun Xiu-mei
Wang Jing-guo
Liu Wen-de
Du Xian-kun
机构
[1] SchoolofMathematicalSciences,HarbinNormalUniversity
关键词
Lie algebra; filtration; automorphism;
D O I
10.13447/j.1674-5647.2013.04.005
中图分类号
O152.5 [李群];
学科分类号
070104 ;
摘要
Let X denote a finite or infinite dimensional Lie algebra of Cartan type W, S, H or K over a field of characteristic p ≥ 3. In this paper it is proved that certain filtrations of the underlying algebras are invariant under the admissible groups relative to Lie algebras of Cartan type X.
引用
收藏
页码:329 / 334
页数:6
相关论文
共 5 条
[1]  
ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE[J]. 金宁.Science in China,Ser.A. 1992(10)
[2]  
Simple Lie algebras of small characteristic VI. Completion of the classification[J] . Alexander Premet,Helmut Strade.Journal of Algebra . 2008 (9)
[3]   Automorphisms and forms of Lie algebras of Cartan type [J].
Shu, B ;
Shen, GY .
COMMUNICATIONS IN ALGEBRA, 1995, 23 (14) :5243-5268
[4]  
Automorphisms of graded lie algebras op cartan type[J] . Robert Lee Wilson.Communications in Algebra . 1975 (7)
[5]  
Classification of generalized Witt algebras over algebraically closed fields[J] . Robert Lee Wilson.Transactions of the American Mathematical Society . 1971