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Book Review

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Book Information:

Author: George B. Seligman
Title: Rational methods in Lie algebras
Additional book information: Lecture Notes in Pure and Applied Math., vol. 17, Marcel Dekker, New York and Basel, 1976, viii + 346 pp., $29.50.

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

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  • 2. S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces, J. Math. Osaka City Univ. 13 (1962), 1-34. MR 27 #3743. MR 153782
  • 3. A. Borel and J. Tits, Groupes réductifs, Inst. Hautes Études Sci. Publ. Math. 27 (1965), 55-150. MR 34 #7527. MR 207712
  • 4. E. Cartan, Les groupes réels simples, finis et continus, Ann. Sci. École Norm. Sup. (3) 31 (1914), 263-355. MR 1509178
  • 5. F. Gantmacher, On the classification of real simple Lie groups, Mat. Sb. 5 (1939), 217-249. MR 2, 5. MR 2141
  • 6. N. Jacobson, Rational methods in the theory of Lie algebras, Ann. of Math. (2) 36 (1935), 875-881. MR 1503258
  • 7. N. Jacobson, Exceptional Lie algebras, Dekker, New York, 1971. MR 44 #1707. MR 143793
  • 8. W. Landherr, Über einfache Liesche Ringe, Abh. Math. Sem. Univ. Hamburg 11 (1935), 41-64.
  • 9. W. Landherr, Liesche Ringe vom Typus A über einem algebraischen Zahlkörper (Die lineare Gruppe) und hermitesche Formen über einem Schiefkörper, Abh. Math. Sem. Univ. Hamburg 12 (1938), 200-241.
  • 10. S. Murakami, Sur la classification des algébres de Lie réelles et simples, Osaka J. Math. 2 (1965), 291-307. MR 34 # 1460. MR 201578
  • 11. I. Satake, Classification theory of semi-simple algebraic groups, Dekker, New York, 1971. MR 47 #5135. MR 316588
  • 12. M. Selbach, Klassifikationstheorie halbeinfacher algebraischer Gruppen, Bonner Math. Schriften 83 (1976). MR 432776
  • 13. J. Tits, Une class d'algèbres de Lie en relation avec les algèbres de Jordan, Indag. Math. 24 (1962), 530-535. MR 26 #3753. MR 146231
  • 14. J. Tits, Classification of algebraic semisimple groups, Proc. Sympos. Pure Math. vol. 9, Amer. Math. Soc., Providence, R. I., 1966, pp. 33-62. MR 37 #309. MR 224710

Review Information:

Reviewer: J. E. Humphreys
Journal: Bull. Amer. Math. Soc. 83 (1977), 993-997
DOI: https://doi.org/10.1090/S0002-9904-1977-14348-6
American Mathematical Society