On Lie and associative algebras containing inner derivations

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• 作者：Matej Bre&scaron ; ar^a ; ^b ; ^{matej.bresar@fmf.uni-lj.si} ; &Scaron ; pela &Scaron ; penko^c ; ^{spela.spenko@imfm.si}
• 关键词：15A30 ; 15A86 ; 16D60 ; 16N60 ; 16R60 ; 17B05 ; 17B10 ; 17B40
• 刊名：Linear Algebra and its Applications
• 出版年：2012
• 期刊代码：38_00243795
• 类别：mt
• 出版时间：15 July, 2012
• 卷：437
• 期：2
• 页码：648-658
• 文件大小：291 K

摘要

We describe subalgebras of the Lie algebra that contain all inner derivations of (where and F is an algebraically closed field of characteristic 0). In a more general context where A is a prime algebra satisfying certain technical restrictions, we establish a density theorem for the associative algebra generated by all inner derivations of A.