Conformal representations of Leibniz algebras

被引：0
|
作者：
P. S. Kolesnikov
机构：
[1] Sobolev Institute of Mathematics,
来源：
Siberian Mathematical Journal | 2008年 / 49卷
关键词：
Leibniz algebra; dialgebra; conformal algebra;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the embedding construction of Lie dialgebras (Leibniz algebras) into conformal algebras. This construction leads to the concept of a conformal representation of Leibniz algebras. We prove that each (finite-dimensional) Leibniz algebra possesses a faithful linear representation (of finite type). As a corollary we give a new proof of the Poincaré-Birkhoff-Witt theorem for Leibniz algebras.
引用
收藏
页码：429 / 435
页数：6
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