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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: Jens Carsten Jantzen
Title: Representations of algebraic groups
Additional book information: Pure and Applied Mathematics vol. 131, Academic Press, Orlando, 1987, xiii + 443 pp., $59.50. ISBN 0-12-380245-8.

References [Enhancements On Off] (What's this?)

  • 1. C. Chevalley, Séminaire sur la classification des groupes de Lie algébriques, Paris: École Norm. Sup. 1956/1958.
  • 2. Claude Chevalley, Certains schémas de groupes semi-simples, Séminaire Bourbaki, Vol. 6, Soc. Math. France, Paris, 1995, pp. Exp. No. 219, 219–234 (French). MR 1611814
  • 3. Robert Steinberg, Representations of algebraic groups, Nagoya Math. J. 22 (1963), 33–56. MR 0155937
  • 4. George Lusztig, Some problems in the representation theory of finite Chevalley groups, The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979) Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R.I., 1980, pp. 313–317. MR 604598
  • 5. Edward Cline, Brian Parshall, and Leonard Scott, On the tensor product theorem for algebraic groups, J. Algebra 63 (1980), no. 1, 264–267. MR 568574,
  • 6. J. E. Humphreys, On the hyperalgebra of a semisimple algebraic group, Contributions to algebra (collection of papers dedicated to Ellis Kolchin), Academic Press, New York, 1977, pp. 203–210. MR 0466331
  • 7. W. J. Haboush, Reductive groups are geometrically reductive, Ann. of Math. (2) 102 (1975), no. 1, 67–83. MR 0382294,
  • 8. Michel Demazure and Pierre Gabriel, Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs, Masson & Cie, Éditeur, Paris; North-Holland Publishing Co., Amsterdam, 1970 (French). Avec un appendice Corps de classes local par Michiel Hazewinkel. MR 0302656
  • 9. Robin Hartshorne, Algebraic geometry, Springer-Verlag, New York-Heidelberg, 1977. Graduate Texts in Mathematics, No. 52. MR 0463157

Review Information:

Reviewer: Stephen Donkin
Journal: Bull. Amer. Math. Soc. 20 (1989), 211-215