Geodesic
Truncated induced modules over transitive Lie algebras of characteristic~$p$
Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 575-608.

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By constructing truncated coinduced modules a theorem is proved on the minimal imbedding of a transitive Lie algebra over a perfect field into the Lie algebra $W(\mathscr F)$. A formula for cohomology with coefficients in a truncated induced module is obtained. A description is given of filtered Lie algebras over a perfect field associated with graded Lie algebras of Cartan type and their derivations. Cartan prolongations of truncated induced modules are investigated. Bibliography: 29 titles. 
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M. I. Kuznetsov. Truncated induced modules over transitive Lie algebras of characteristic~$p$. Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 575-608. http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a3/

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