On Derivations of Semisimple Leibniz Algebras

详细信息    查看全文

• 作者：I. S. Rakhimov ; K. K. Masutova ; B. A. Omirov
• 关键词：Lie algebra ; Leibniz algebra ; Derivation ; Inner derivation ; Simple algebra ; Semisimple algebra ; Irreducible module
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：295-306
• 全文大小：
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206
• 卷排序：40

文摘

In the paper, we describe derivations of some classes of Leibniz algebras. It is shown that any derivation of a simple Leibniz algebra can be written as a combination of three derivations. Two of these ingredients are Lie algebra derivations and the third one can be explicitly described. Then we show that the similar description can be found as well as for a subclass of semisimple Leibniz algebras.