The centralizer of an element in a Lie algebra of type L  

作　　者：LU Caihui SHAO Wenwu 

机构地区：[1]Department of Mathematics,Capital Normal University,Beijing 100037,China

出　　处：《Science China Mathematics》2004年第6期854-861,共8页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.10271081);a Fund from Educational Department of Beijing(Grant No.2002KJ-100).

摘　　要：In this paper, we investigate the Lie algebra L(A,α,δ) of type L and obtain the respective sufficient conditions for L(A,α,δ δ to be semisimple, and for Z(ω) = Fω as well, where 0 ≠ ω ? L(A, α, δ, δ) and Z(ω) is the centralizer of ω.

关 键 词：Lie algebra of type L semisimple Lie algebra CENTRALIZER total ordering 

分 类 号：N[自然科学总论]