Geodesic
An example of differentially simple Lie algebra which is not a free module over its centroid
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 915-920

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In this work we construct an example of differentially simple Lie algebra $\Lambda(L(\mathbb{M}))$ over an algebraically closed field of zero characteristic, such that $\Lambda(L(\mathbb{M}))$ is a finitely-generated projective non-free module over its centroid.
Keywords: differentially simple algebra, projective module, Lie algebra, algebra of polynomials. 
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     title = {An example of differentially simple {Lie} algebra which is not a free module over its centroid},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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V. N. Zhelyabin; M. E. Goncharov. An example of differentially simple Lie algebra which is not a free module over its centroid. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 915-920. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a27/