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 
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/
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     title = {On the maximal dimension of irreducible representations of simple {Lie} $p$-algebras of the {Cartan} series~$S$ and~$H$},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Diksme Zh., Universalnye obertyvayuschie algebry, Mir, M., 1978 | MR

[2] Kostrikin A. I., Shafarevich I. R., “Graduirovannye algebry Li konechnoi kharakteristiki”, Izv. AN SSSR. Seriya matem., 33 (1969), 251–322 | MR | Zbl

[3] Milner A. A., “O maksimalnoi stepeni neprivodimykh predstavlenii algebry Li nad polem polozhitelnoi kharakteristiki”, Funkts. analiz, 14:2 (1980), 67–68 | MR | Zbl

[4] Milner A. A., “Neprivodimye predstavleniya modulyarnykh algebr Li”, Izv. AN SSSR. Seriya matem., 39 (1975), 1240–1259 | MR | Zbl

[5] Dëmushkin S. P., “Podalgebry Kartana prostykh neklassicheskikh $p$-algebr Li”, Izv. AN SSSR. Seriya matem., 36 (1972), 915–932

[6] Rudakov A. N., “O predstavleniyakh klassicheskikh poluprostykh algebr Li v kharakteristike $p$”, Izv. AN SSSR. Seriya matem., 34 (1970), 735–743 | MR | Zbl

[7] Tyurin S. A., “O podalgebrakh Kartana obschei algebry Li kartanovskogo tipa”, Matem. sb., 116 (206) (1981), 547–557 | MR | Zbl

[8] Krylyuk Ya. S., “O maksimalnoi stepeni neprivodimykh predstavlenii gamiltonovoi $p$-Algebry Li”, XVI Vsesoyuznaya algebr, konfer., ch. 2, Leningrad, 1981

[9] Krylyuk Ya. S., “O maksimalnoi stepeni neprivodimykh predstavlenii spetsialnoi $p$-algebry Li”, Pyatyi Vsesoyuznyi simpozium po teorii kolets, algebr i modulei, Novosibirsk, 1982 | Zbl

[10] Zassenhaus H., “The representations of Lie algebras of prime characteristics”, Proc. Glasgow Math. Assos., 2 (1954), 1–36 | DOI | MR | Zbl

[11] Chang Ho-Jul, “Über Wittsche Lie Ringe”, Abh. Math. Sem. Univ. Hamburg, B. 14 (1941), 151–184 | DOI | MR