Irreducible representations of modular Lie algebras
Izvestiya. Mathematics , Tome 9 (1975) no. 6, pp. 1169-1187.

Voir la notice de l'article provenant de la source Math-Net.Ru

Using the theory of finite schemes, we study the rank of the universal enveloping algebra over a field of positive characteristic. We determine the maximal degree of an irreducible representation of a graded Lie algebra of Cartan type $W_1$ or $W_2$. Bibliography: 10 titles.
@article{IM2_1975_9_6_a1,
     author = {A. A. Mil'ner},
     title = {Irreducible representations of modular {Lie} algebras},
     journal = {Izvestiya. Mathematics },
     pages = {1169--1187},
     publisher = {mathdoc},
     volume = {9},
     number = {6},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a1/}
}
TY  - JOUR
AU  - A. A. Mil'ner
TI  - Irreducible representations of modular Lie algebras
JO  - Izvestiya. Mathematics 
PY  - 1975
SP  - 1169
EP  - 1187
VL  - 9
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a1/
LA  - en
ID  - IM2_1975_9_6_a1
ER  - 
%0 Journal Article
%A A. A. Mil'ner
%T Irreducible representations of modular Lie algebras
%J Izvestiya. Mathematics 
%D 1975
%P 1169-1187
%V 9
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a1/
%G en
%F IM2_1975_9_6_a1
A. A. Mil'ner. Irreducible representations of modular Lie algebras. Izvestiya. Mathematics , Tome 9 (1975) no. 6, pp. 1169-1187. http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a1/

[1] Burbaki N., Kommutativnaya algebra, Mir, M., 1971 | MR

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

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

[4] Ermolaev Yu. B., “O tsentre universalnoi obertyvayuschei algebry algebry Tsassenkhauza”, XII Vsesoyuznyi algebraicheskii kollokvium (Sverdlovsk, 1973), tetr. 1

[5] Mamford D., Abelevy mnogoobraziya, Mir, M., 1971

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

[7] Chang Ho-Jui, “Über Wittsche Lie Ringe”, Abh. Math. Sem. Univ. Hamburg, 14 (1941), 151–184 | DOI | MR | Zbl

[8] “Propriétés Generales des Schémas en Groupes (SGA 3)”, Lect. Notes Math., 151, Springer-Verlag, 1970

[9] Ree R., “On generalised Witt algebras”, Trans. Amer. Math. Soc., 83 (1956), 510–546 | DOI | MR | Zbl

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