Book Review
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MathSciNet review:
1567752
Full text of 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.
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
- 1.
- C. Chevalley, Séminaire sur la classification des groupes de Lie algébriques, Paris: École Norm. Sup. 1956/1958.
- 2.
- C. Chevalley, Certains schémas de groupes semi-simples, Sém. Bourbaki (1960-1961), Exp. 219, Benjamin, New York, 1966. MR 1611814
- 3.
- R. Steinberg, Representations of algebraic groups, Nagoya Math. J. 22 (1963), 33-56. MR 155937
- 4.
- G. Lusztig, Some problems in the representation theory of finite Chevalley groups, The Santa Cruz Conference on Finite Groups, Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R. I., 1979, pp. 313-317. MR 604598
- 5.
- E. Cline, B. Parshall and L. Scott, On the tensor product theorem for algebraic groups, J. Algebra 63 (1980), 264-267. MR 568574
- 6.
- J. E. Humphreys, On the hyperalgebra of a semisimple algebraic group, Contributions to Algebra, A collection of papers dedicated to Ellis Kolchin, Academic Press, New York, San Francisco, London, 1977, pp. 203-210. MR 466331
- 7.
- W. Haboush, Reductive groups are geometrically reductive, Ann. of Math. (2) 102 (1975), 67-83. MR 382294
- 8.
- M. Demazure and P. Gabriel, Groupes algebriques. I, Masson/North-Holland, Paris/ Amsterdam, 1970. MR 302656
- 9.
- R. Hartshorne, Algebraic geometry, Springer-Verlag, Berlin and New York, 1977. MR 463157
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