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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     author = {M. I. Kuznetsov},
     title = {Truncated induced modules over transitive {Lie} algebras of characteristic~$p$},
     journal = {Izvestiya. Mathematics },
     pages = {575--608},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a3/}
}
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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/