Geodesic
Indices of standard maximal subalgebras of Cartan-type $p$-algebras of finite characteristic
Sbornik. Mathematics, Tome 67 (1990) no. 1, pp. 1-21 
Ya. S. Krylyuk. Indices of standard maximal subalgebras of Cartan-type $p$-algebras of finite characteristic. Sbornik. Mathematics, Tome 67 (1990) no. 1, pp. 1-21. http://geodesic.mathdoc.fr/item/SM_1990_67_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Indices are computed for the standard maximal subalgebras of $p$-algebras of the Cartan series $W$, $S$, $H$, and $K$ over an algebraically closed field of characteristic $p\geqslant3$. Bibliography: 10 titles.

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

[2] Dzhekobson N., Algebry Li, Mir, M., 1964 | MR

[3] Demushkin S. Ya., “Podalgebry Kartana prostykh neklassicheskikh $p$-algebr Li”, Izv. AN SSSR. Ser. matem., 36 (1972), 915–932 | Zbl

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

[5] Krylyuk Ya. S., “O maksimalnoi razmernosti neprivodimykh predstavlenii prostykh $p$-algebr Li kartanovskikh serii $S$ i $H$”, Matem. sb., 123(165) (1984), 108–119 | MR | Zbl

[6] Krylyuk Ya. S., “Ob indekse algebr kartanovskogo tipa v konechnoi kharakteristike”, Izv. AN SSSR. Ser. matem., 50 (1986), 393–412 | MR | Zbl

[7] Milner A. A., “O maksimalnoi stepeni neprivodimykh predstavlenii algebry Li nad polem polozhitelnoi kharakteristiki”, Funktsion. analiz i ego pril., 14 (1980), 67–68 | MR | Zbl

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

[9] Zastiknhauz H., “The representation of Lie algebra of prime characteristic”, Proc. Glasgow Math. Assoc., 2 (1954), 1–36 | DOI | MR

[10] Winter D., “Cartan subalgebras of a Lie algebra and its ideals”, Pacific J. Math., 33 (1970), 537–541 | MR | Zbl