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arXiv · 1204.5216

On Lie and associative algebras containing inner derivations

M. Brešar·Š. Špenko
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Abstract

We describe subalgebras of the Lie algebra $\mf{gl}(n^2)$ that contain all inner derivations of $A=M_n(F)$ (where $n\ge 5$ 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 $A$.

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M. Brešar, Š. Špenko. 2012-04-23. On Lie and associative algebras containing inner derivations. https://arxiv.org/abs/1204.5216

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