Bulletin of the American Mathematical Society

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Book Information:

Author: 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: 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.

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A. Borel, On the development of Lie group theory, Math. Intelligencer 2 (1979/80), no. 2, 67–72. L. E. J. Brouwer Memorial Lecture. MR 577554, DOI 10.1007/BF03023375

Roger W. Carter, Simple groups of Lie type, Pure and Applied Mathematics, Vol. 28, John Wiley & Sons, London-New York-Sydney, 1972. MR 0407163

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C. Chevalley, Séminaire sur la classification des groupes de Lie algébriques, École Norm. Sup., Paris, 1956-1958.

C. Chevalley, Sur certains groupes simples, Tohoku Math. J. (2) 7 (1955), 14–66 (French). MR 73602, DOI 10.2748/tmj/1178245104

Claude Chevalley, Théorie des groupes de Lie. Tome II. Groupes algébriques, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1152, Hermann & Cie, Paris, 1951 (French). MR 0051242

Schémas en groupes. I: Propriétés générales des schémas en groupes, Lecture Notes in Mathematics, Vol. 151, Springer-Verlag, Berlin-New York, 1970 (French). Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3); Dirigé par M. Demazure et A. Grothendieck. MR 0274458

I. B. Frenkel and V. G. Kac, Basic representations of affine Lie algebras and dual resonance models, Invent. Math. 62 (1980/81), no. 1, 23–66. MR 595581, DOI 10.1007/BF01391662

G. Hochschild, Algebraic Lie algebras and representative functions, Illinois J. Math. 3 (1959), 499–523. MR 125910

G. Hochschild, The structure of Lie groups, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. MR 0207883

James E. Humphreys, Linear algebraic groups, Graduate Texts in Mathematics, No. 21, Springer-Verlag, New York-Heidelberg, 1975. MR 0396773

E. R. Kolchin, Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Ann. of Math. (2) 49 (1948), 1–42. MR 24884, DOI 10.2307/1969111

G. D. Mostow, Fully reducible subgroups of algebraic groups, Amer. J. Math. 78 (1956), 200–221. MR 92928, DOI 10.2307/2372490

1.

A. Borel, Groupes linéaires algébriques, Ann. of Math. (2) 64 (1956), 20-80. MR 0093006

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