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On representations of classical semisimple Lie algebras of characteristic~$p$
Izvestiya. Mathematics , Tome 4 (1970) no. 4, pp. 741-749.

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In this paper theorems are proved about the dimension and the structure of irreducible representations of semisimple Lie algebras with nondegenerate Killing form over a field of prime characteristic. 
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A. N. Rudakov. On representations of classical semisimple Lie algebras of characteristic~$p$. Izvestiya. Mathematics , Tome 4 (1970) no. 4, pp. 741-749. http://geodesic.mathdoc.fr/item/IM2_1970_4_4_a1/

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