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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 1567752
Full text of review: PDF   This review is available free of charge.
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.
  • 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
  • Robert Steinberg, Representations of algebraic groups, Nagoya Math. J. 22 (1963), 33–56. MR 155937
  • 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
  • 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, DOI 10.1016/0021-8693(80)90035-6
  • 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
  • W. J. Haboush, Reductive groups are geometrically reductive, Ann. of Math. (2) 102 (1975), no. 1, 67–83. MR 382294, DOI 10.2307/1970974
  • Michel Demazure and Pierre Gabriel, Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs, Masson & Cie, Éditeurs, Paris; North-Holland Publishing Co., Amsterdam, 1970 (French). Avec un appendice Corps de classes local par Michiel Hazewinkel. MR 0302656
  • Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157

  • Review Information:

    Reviewer: Stephen Donkin
    Journal: Bull. Amer. Math. Soc. 20 (1989), 211-215
    DOI: https://doi.org/10.1090/S0273-0979-1989-15768-6