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On the structure of the minimal ideal of some graded Lie algebras in characteristic \(p>0\). (English) Zbl 0388.17005

MSC:
17B70 Graded Lie (super)algebras
17B50 Modular Lie (super)algebras
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[1] Block, R, Determination of differentiably simple rings with a minimal ideal, Ann. of math., 90, 433-459, (1969) · Zbl 0216.07303
[2] Guillemin, V, Infinite dimensional primitive Lie algebras, J. differential geometry, 4, 257-282, (1970) · Zbl 0223.17007
[3] Kac, V, On classification of simple Lie algebras over fields with non-zero characteristic, Izv. AN SSSR (ser. math.), 34, 385-408, (1970)
[4] Kac, V, A description of filtered Lie algebras to which are associated graded Lie algebras of Cartan type, Izv. AN SSSR (ser. math.), 38, 800-834, (1974)
[5] Kostrikin, A.I; Shafarevich, I.R, Graded Lie algebras of finite characteristic, Izv. AN SSSR (ser. math.), 33, 251-322, (1969) · Zbl 0211.05304
[6] Weisfeiler, B, On filtered Lie algebras and their associated graded algebras, Funkcional anal. i prilozen., 2, 94-95, (1968)
[7] Weisfeiler, B; Kac, V, Exponentials in Lie algebras, Izv. AN SSSR (ser. math.), 35, 762-788, (1971) · Zbl 0245.17007
[8] Wilson, R.L, A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic, J. algebra, 40, 418-465, (1976) · Zbl 0355.17012
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