A remark on the space of invariant differential operators
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 49-54
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.
@article{VMUMM_1982_2_a11,
author = {A. S. Dzhumadil'daev},
title = {A remark on the space of invariant differential operators},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {49--54},
year = {1982},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a11/}
}
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/