Lie elements in pre-Lie algebras, trees and cohomology operations

被引：0
|
作者：
Markl, M. [1 ]
机构：
[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic
来源：
JOURNAL OF LIE THEORY | 2007年 / 17卷 / 02期
关键词：
cohomology operations; pre-Lie algebras; Chevalley-Eilenberg complex;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a simple characterization of Lie elements in free pre-Lie algebras as elements of the kernel of a map between spaces of trees. We explain how this result is related to natural operations on the Chevalley-Eilenberg complex of a Lie algebra. We also indicate a possible relation to Loday's theory of triplettes.
引用
收藏
页码：241 / 261
页数：21
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