Rational actions associated to the adjoint representation

Eric M. Friedlander; Brian J. Parshall

Annales scientifiques de l'École Normale Supérieure (1987)

  • Volume: 20, Issue: 2, page 215-226
  • ISSN: 0012-9593

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Friedlander, Eric M., and Parshall, Brian J.. "Rational actions associated to the adjoint representation." Annales scientifiques de l'École Normale Supérieure 20.2 (1987): 215-226. <http://eudml.org/doc/82198>.

@article{Friedlander1987,
author = {Friedlander, Eric M., Parshall, Brian J.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {exact sequence; Poincaré-Birkhoff-Witt theorem; hyperalgebras; Frobenius kernels; symmetric algebra; universal enveloping algebra},
language = {eng},
number = {2},
pages = {215-226},
publisher = {Elsevier},
title = {Rational actions associated to the adjoint representation},
url = {http://eudml.org/doc/82198},
volume = {20},
year = {1987},
}

TY - JOUR
AU - Friedlander, Eric M.
AU - Parshall, Brian J.
TI - Rational actions associated to the adjoint representation
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
PB - Elsevier
VL - 20
IS - 2
SP - 215
EP - 226
LA - eng
KW - exact sequence; Poincaré-Birkhoff-Witt theorem; hyperalgebras; Frobenius kernels; symmetric algebra; universal enveloping algebra
UR - http://eudml.org/doc/82198
ER -

References

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  2. [2] N. BOURBAKI, Groupes et algèbres de Lie, Chap. 2, 3, ..., Hermann, Paris, (1972...). Zbl0244.22007
  3. [3] E. CLINE, B. PARSHALL and L. SCOTT, Cohomology, Hyperalgebras, and Representations (J. Algebra, Vol. 63, 1980, pp. 98-123). Zbl0434.20024MR81k:20060
  4. [4] M. DEMAZURE, Invariants symétriques entiers des groupes de Weyl et torsion (Inv. Math., Vol. 21, 1973, pp. 287-301). Zbl0269.22010MR49 #7268
  5. [5] M. DEMAZURE and P. GABRIEL, Groupes Algébriques, I, North-Holland, 1970. 
  6. [6] S. DONKIN, Rational Representations of Algebraic Groups: Tensor Products and Filtrations (Lec. Notes in Math., No. 1140, Springer, 1985). Zbl0586.20017MR87b:20054
  7. [7] E. FRIEDLANDER and B. PARSHALL, On the Cohomology of Algebraic and Related Finite Groups (Inv. Math., Vol. 4, 1983, pp. 85-117). Zbl0526.20035MR85d:20035
  8. [8] E. FRIEDLANDER and B. PARSHALL, Cohomology of Lie Algebras and Algebraic Groups (Amer. J. Math., Vol. 108, 1986, pp. 235-253). Zbl0601.20042MR87c:20080
  9. [9] A. GROTHENDIECK, Éléments de géométrie algébrique, IV, (Publ. Math. I.H.E.S., Vol. 24, 1965). Zbl0135.39701
  10. [10] N. JACOBSON, Lectures in Abstract Algebra, III, Van Nostrand, 1964. 
  11. [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). Zbl0324.17001MR54 #5364
  12. [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). Zbl0433.17006MR81h:17012
  13. [13] T. SPRINGER and R. STEINBERG, Conjugacy Classes (Lec. Notes in Math., No. 131, Springer, 1970, pp. 167-266). Zbl0249.20024MR42 #3091
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