Geodesic
The Zassenhaus variety of a classical semisimple Lie algebra in finite characteristic
Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 477-490 Cet article a éte moissonné depuis la source Math-Net.Ru

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The equations of the Zassenhaus variety of a classical semisimple Lie algebra over an algebraically closed field of characteristic $p>0$ are found under the condition that $p$ does not divide the order of the Weyl group of this algebra. The set of singular points of this variety is described. Bibliography: 9 titles. 
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Ya. S. Krylyuk. The Zassenhaus variety of a classical semisimple Lie algebra in finite characteristic. Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 477-490. http://geodesic.mathdoc.fr/item/SM_1987_58_2_a10/

[1] Burbaki N., Gruppa i algebry Li. Gruppy, porozhdennye otrazheniyami, sistemy kornei, Mir, M., 1972 | Zbl

[2] Burbaki N., Gruppy i algebry Li. Podalgebry Kartana, regulyarnye elementy, rasscheplyaemye poluprostye algebry Li, Mir, M., 1978 | MR

[3] Veisfeiler B. Yu., Kats V. G., “O neprivodimykh predstavleniyakh $p$-algebr Li”, Funktsion. analiz i ego pril., 5:2 (1971), 28–36 | MR | Zbl

[4] Rudakov A. N., Shafarevich I. R., “Neprivodimye predstavleniya prostoi trekhmernoi algebry Li nad polem konechnoi kharakteristiki”, Matem. zametki, 2:5 (1967), 439–454 | MR | Zbl

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

[6] Springer T. A., Shteinberg R., “Klassy sopryazhennykh elementov”, Seminar po algebraicheskim gruppam, Mir, M., 1973, 162–262 | MR

[7] Kac V., Weisfeiler B., “Coadjoint action of a simple algebraic group and the center of the enveloping algebra in characteristic $p$”, Indag. Math., 38:2 (1976), 136–151 | MR

[8] Veldkamp F. D., “The center of the universal enveloping algebra of a Lie algebra in characteristic $p$”, Ann. Scient. Ec. Norm. sup. 4-e série, 5 (1972), 217–240 | MR | Zbl

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