Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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

Book Review

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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.

References [Enhancements On Off] (What's this?)

  • 1. Élie Cartan, Leçons sur la géométrie projective complexe, Gauthier-Villars, Paris, 1931. MR 41456
  • 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. Wilhelm Killing, Die Zusammensetzung der stetigen endlichen Transformations-gruppen, Math. Ann. 34 (1889), no. 1, 57–122 (German). MR 1510568, https://doi.org/10.1007/BF01446792
  • 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
American Mathematical Society