Geodesic
Algebraic groups associated with Cartan Lie $p$-algebras
Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 85-97 
A. A. Premet. Algebraic groups associated with Cartan Lie $p$-algebras. Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 85-97. http://geodesic.mathdoc.fr/item/SM_1985_50_1_a5/
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     title = {Algebraic groups associated with {Cartan} {Lie} $p$-algebras},
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Voir la notice de l'article provenant de la source Math-Net.Ru

For all irreducible $p$-representations $\rho$ of simple Lie $p$-algebras $W_n$, $S_n$, $H_n$ and $K_n$ a description is given of groups generated by one-parameter subgroups of the form $\exp t\rho(x)$, where $x$ is a homogeneous element of the algebra for which $x^p=0$. Bibliography: 11 titles.

[1] Burbaki N., Gruppy i algebry Li: Podalgebry Kartana, regulyarnye elementy, rasscheplyaemye poluprostye algebry Li, 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] Kostrikin A. I., “Nekotorye aspekty teorii algebr Li”, Izbrannye voprosy algebry i logiki, Novosibirsk, 1973, 142–160 | MR | Zbl

[4] Kuznetsov M. I., Algebra Vitta i simplekticheskaya gruppa, Dep. v VINITI, No 2856-79 Dep., 1979

[5] Premet A. A., Suprunenko I. D., Kvadratichnye moduli dlya grupp Shevalle nad polyami nechetnykh kharakteristik, Preprint In-ta matem. AN BSSR. No 22(123), In-t matem. AN BSSR, Minsk, 1981

[6] Premet A. A., Suprunenko I. D., Moduli Veilya i neprivodimye predstavleniya simplekticheskikh grupp s fundamentalnymi starshimi vesami, Preprint In-ta matem. AN BSSR. No 14(115), In-t matem. AN BSSR, Minsk, 1981

[7] Zalesskii A. E., Poluprostye kornevye elementy algebraicheskikh grupp, Preprint In-ta matem. AN BSSR. No 13(93), In-t matem. AN BSSR, Minsk, 1980

[8] Khamfri Dzh., Lineinye algebraicheskie gruppy, Mir, M., 1980

[9] Krylyuk Ya. S., O neprivodimykh modulyakh algebr Li kartanovskogo tipa v konechnoi kharakteristike. I, Dep. v VINITI, No 3863-78 Dep., 1978

[10] Krylyuk Ya. S., Invariantnye bilineinye formy na predstavleniyakh algebr Li i analogi kontaktnoi algebry, Dep. v VINITI, No 3865-78 Dep., 1978

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