Book Review
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MathSciNet review:
1567241
Full text of review:
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This review is available free of charge.
Book Information:
Author:
Sigurdur Helgason
Title:
Differential geometry, Lie groups and symmetric spaces
Additional book information:
Academic Press, New York, 1978, xvi + 628 pp., $27.00.
É. Cartan, Leçons sur la géométrie projective complexe, Gauthier-Villars, Paris, 1950 (French). 2d ed. MR 0041456
Elie Cartan, Œuvres complètes. Partie I. Groupes de Lie, Gauthier-Villars, Paris, 1952 (French). MR 0050516
Andrew M. Gleason, Groups without small subgroups, Ann. of Math. (2) 56 (1952), 193–212. MR 49203, DOI 10.2307/1969795
V. G. Kac, Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1323–1367 (Russian). MR 0259961
Wilhelm Killing, Die Zusammensetzung der stetigen endlichen Transformations-gruppen, Math. Ann. 34 (1889), no. 1, 57–122 (German). MR 1510568, DOI 10.1007/BF01446792
Robert V. Moody, A new class of Lie algebras, J. Algebra 10 (1968), 211–230. MR 229687, DOI 10.1016/0021-8693(68)90096-3
J. Tits, Algebraic and abstract simple groups, Ann. of Math. (2) 80 (1964), 313–329. MR 164968, DOI 10.2307/1970394
- 1.
- Élie Cartan, Leçons sur la géométrie projective complexe, Gauthier-Villars, Paris, 1931. MR 0041456
- 2.
- Élie Cartan, Oeuvres complètes. I, Gauthier-Villars, Paris, 1952. MR 50516
- 3.
- A. Gleason, Groups without small subgroups, Ann. of Math. 56 (1952), 193-212. MR 49203
- 4.
- V. Kač, Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1323-1367. MR 259961
- 5.
- W. Killing, Die Zusammensetzung der stetigen endlicher Transformationsgruppen. I-IV, Math. Ann. 31 (1888), 252-290; 33 (1889), 1-48; 34 (1889), 57-122; 36 (1890), 161-189. MR 1510568
- 6.
- R. V. Moody, A new class of Lie algebras, J. Algebra 10 (1968), 211-230. MR 229687
- 7.
- J. Tits, Algebraic and abstract simple groups, Ann. of Math. 80 (1964), 313-329. MR 164968
Review Information:
Reviewer:
Ravi S. Kulkarni
Journal:
Bull. Amer. Math. Soc.
2 (1980), 468-476
DOI:
https://doi.org/10.1090/S0273-0979-1980-14772-2
