Geodesic
On symmetric invariants of some modular Lie algebras
Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 125-135 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the Lie algebras of Cartan type $W_n(\mathrm{m})$, $S_n(\mathrm{m})$, $H_n^0(\mathrm{m})$ a simple condition is obtained that must be satisfied by every nontrivial invariant polynomial function on the coadjoint module for the algebra. 
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     author = {L. P. Bedratyuk},
     title = {On symmetric invariants of some modular {Lie} algebras},
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     url = {http://geodesic.mathdoc.fr/item/SM_1995_80_1_a6/}
}
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L. P. Bedratyuk. On symmetric invariants of some modular Lie algebras. Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 125-135. http://geodesic.mathdoc.fr/item/SM_1995_80_1_a6/

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

[2] Ermolaev Yu,B., “Vychislenie tsentralnogo elementa universalnoi obertyvayuschei algebry algebry Vitta”, Izv. vuzov. Matematika, 1975, no. 5, 20–26 | MR | Zbl

[3] Yakovlev N. N., “Tsentr obertyvayuschei algebry algebry Vitta”, Funktsion. analiz i ego pril., 6:2 (1972), 99–100 | MR | Zbl

[4] Ermolaev Yu. B., “Tsentralnyi element universalnoi obertyvayuschei algebry algebry Tsassenkhausa”, Izv. vuzov. Matematika, 1978, no. 12, 46–59 | MR | Zbl

[5] Koreshkov N. A., “Tsentralnye elementy v algebre $U(K_m)$”, Izv. vuzov. Matematika, 1991, no. 5, 16–22 | MR | Zbl

[6] Dzhumadildaev A. S., “Obobschennye elementy Kazimira”, Izv. AN SSSR. Ser. matem., 49:5 (1985), 1107–1117 | MR | Zbl

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

[8] Krylyuk Ya. S., “Ob indekse algebr kartanovskogo tipa v konechnoi kharakteristike”, Izv. AN SSSR. Ser. matem., 50:2 (1986), 393–412 | MR | Zbl