Geodesic
A remark on the space of invariant differential operators
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 49-54

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We prove that the problem of describing differential operators which are invariant with respect to a Gartan type Lie algebra $L=\bigoplus\limits_{i\ge -2}L_i$, can be reduced to describing the spaces of multilinear maps which are invariant with respect to the subalgebra $\mathscr{L}_+=\bigoplus\limits_{i>0}L_i$. These maps take value in the trivial $\mathscr{L}_+$-module. 
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     author = {A. S. Dzhumadil'daev},
     title = {A remark on the space of invariant differential operators},
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     number = {2},
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A. S. Dzhumadil'daev. A remark on the space of invariant differential operators. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 49-54. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a11/