Rational actions associated to the adjoint representation
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 20 (1987) no. 2, pp. 215-226. 
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Friedlander, Eric M.; Parshall, Brian J. Rational actions associated to the adjoint representation. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 20 (1987) no. 2, pp. 215-226. doi : 10.24033/asens.1529. https://www.numdam.org/articles/10.24033/asens.1529/

[1] H. Andersen and J. Jantzen, Cohomology of Induced Representations of Algebraic Groups (Math. Ann. Vol. 269, 1984, pp. 487-525). | MR | Zbl

[2] N. Bourbaki, Groupes et algèbres de Lie, Chap. 2, 3, ..., Hermann, Paris, (1972...). | Zbl

[3] E. Cline, B. Parshall and L. Scott, Cohomology, Hyperalgebras, and Representations (J. Algebra, Vol. 63, 1980, pp. 98-123). | MR | Zbl

[4] M. Demazure, Invariants symétriques entiers des groupes de Weyl et torsion (Inv. Math., Vol. 21, 1973, pp. 287-301). | MR | Zbl

[5] M. Demazure and P. Gabriel, Groupes Algébriques, I, North-Holland, 1970.

[6] S. Donkin, Rational Representations of Algebraic Groups: Tensor Products and Filtrations (Lec. Notes in Math., No. 1140, Springer, 1985). | MR | Zbl

[7] E. Friedlander and B. Parshall, On the Cohomology of Algebraic and Related Finite Groups (Inv. Math., Vol. 4, 1983, pp. 85-117). | MR | Zbl

[8] E. Friedlander and B. Parshall, Cohomology of Lie Algebras and Algebraic Groups (Amer. J. Math., Vol. 108, 1986, pp. 235-253). | MR | Zbl

[9] A. Grothendieck, Éléments de géométrie algébrique, IV, (Publ. Math. I.H.E.S., Vol. 24, 1965). | Numdam | Zbl

[10] N. Jacobson, Lectures in Abstract Algebra, III, Van Nostrand, 1964.

[11] V. Kac and B. Weisfeiler, Coadjoint Action of a Semi-Simple Algebraic Group and the Center of the Enveloping Algebra in Characteristic p (Indag. Math., Vol. 38, 1976, pp. 135-151). | MR | Zbl

[12] A. A. Mil'Ner, Maximal Degree of Irreducible Lie Algebra Representations Over a Field of Positive Characteristic (Funks. Anal., Vol. 14, No. 2, 1980, pp. 67-68). | MR | Zbl

[13] T. Springer and R. Steinberg, Conjugacy Classes (Lec. Notes in Math., No. 131, Springer, 1970, pp. 167-266). | MR | Zbl

[14] F. Veldkamp, The Center of the Universal Enveloping Algebra of a Lie Algebra in Characteristic p (Ann. scient. Ec. Norm. Sup., 1972, pp. 217-240). | Numdam | MR | Zbl

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