Bulletin of the American Mathematical Society

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

Book Information

Author(s): Gerhard P. Hochschild
Title: Basic theory of algebraic groups and Lie algebras
Additional book information: Graduate Texts in Mathematics, vol. 75, Springer-Verlag, New York, Heidelberg, Berlin, 1981, viii + 267 pp., $32.00. ISBN 0-3879-0541-3

Author(s): T. A. Springer
Title: Linear algebraic groups
Additional book information: Progress in Mathematics, vol. 9, Birkhauser, Boston; Basel, Stuttgart, 1981, x + 304 pp., $20.00. ISBN 3-7643-2039-5

1.: A. Borel, Groupes linéaires algébriques, Ann. of Math. (2) 64 (1956), 20-80. MR 93006
2.: A. Borel, Linear algebraic groups, Benjamin, New York, 1969. MR 251042
3.: A. Borel, On the development of Lie group theory, Math. Intelligencer 2 (1980), 67-72. MR 577554
4.: R. Carter, Simple groups of Lie type, Wiley, London and New York, 1972. MR 407163
5.: C. Chevalley, Séminaire sur la classification des groupes de Lie algébriques, École Norm. Sup., Paris, 1956-1958.
6.: C. Chevalley, Sur certains groupes simples, Tôhoku Math. J. 7 (1955), 14-66. MR 73602
7.: C. Chevalley, Théorie des groupes de Lie. Tome II, Groupes algébriques (1951); Tome III, Théorèmes généraux sur les algèbres de Lie. (1955), Hermann, Paris. MR 51242
8.: M. Demazure and A. Grothendieck, Schémas en groupes, Lecture Notes in Math., vols. 151, 152, 155, Springer-Verlag, Berlin and New York, 1970. MR 274458
9.: I. Frenkel and V. Kac, Basic representations of affine Lie algebras and dual resonance models, Invent. Math. 62 (1980), 23-66. MR 595581
10.: G. Hochschild, Algebraic Lie algebras and representative functions, Illinois J. Math. 3 (1959), 499-523; supplement, ibid. 4 (1960), 609-618. MR 125910
11.: G. Hochschild, The structure of Lie groups, Holden-Day, San Francisco, 1965. MR 207883
12.: J. Humphreys, Linear algebraic groups, Springer-Verlag, Berlin and New York, 1975. MR 396773
13.: E. Kolchin, Algebraic matrix groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Ann. of Math. (2) 49 (1948), 1-42. MR 24884
14.: G. Mostow, Fully reducible subgroups of algebraic groups, Amer. J. Math. 78 (1956), 200-221. MR 92928

Review Information:
Journal: Bull. Amer. Math. Soc. 9 (1983), 364-368.
DOI: 10.1090/S0273-0979-1983-15212-6
PII: S 0273-0979(1983)15212-6

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-9485(e) ISSN 0273-0979(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS