Geodesic
On the maximal dimension of irreducible representations of simple Lie $p$-algebras of the Cartan series~$S$ and~$H$
Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 107-118

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The maximal dimension is computed for irreducible representations of the Hamiltonian Lie $p$-algebra and the special Lie $p$-algebra of an even number of variables over an algebraically closed field of characteristic $p>3$. Bibliography: 11 titles. 
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     author = {Ya. S. Krylyuk},
     title = {On the maximal dimension of irreducible representations of simple {Lie} $p$-algebras of the {Cartan} series~$S$ and~$H$},
     journal = {Sbornik. Mathematics},
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Ya. S. Krylyuk. On the maximal dimension of irreducible representations of simple Lie $p$-algebras of the Cartan series~$S$ and~$H$. Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 107-118. http://geodesic.mathdoc.fr/item/SM_1985_51_1_a6/