Can someone tell me books or papers on subalgebras of $\operatorname{SL}(3)$?

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I hope to find the smallest subalgebra of $\operatorname{SL}(3)$ that contain the matrix $$\begin{pmatrix} 0 & a & 0\\0 & 0 & b\\c & d & 0 \end{pmatrix}$$ Are there any references where I can find this information?

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