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We determine the irreducible components of $\\mathfrak{g}(l)$ by using the orbits of $GL(n-1,\\C)$ on the flag variety $\\B_n$ of $\\mathfrak{gl}(n,\\C)$. More precisely, let $\\mathfrak{b} \\in \\B_n$ be a Borel subalgebra such that the orbit $GL(n-1,\\C)\\cdot \\mathfrak{b}$ in $\\B_n$ has codimension $l$. 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