Book Review
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MathSciNet review:
1567139
Full text of review:
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Book Information:
Authors:
Morikuni Goto and
Frank D. Grosshans
Title:
Semisimple Lie algebras
Additional book information:
Lecture Notes in Pure and Applied Mathematics, No. 38, Marcel Dekker, Inc., New York, 1978, vii + 480 pp., $37.50.
1. C. Chevalley, Theory of Lie groups, Princeton Univ. Press, Princeton, N. J., 1946.
Hans Freudenthal and H. de Vries, Linear Lie groups, Pure and Applied Mathematics, Vol. 35, Academic Press, New York-London, 1969. MR 0260926
N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of ${\mathfrak {p}}$-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 5–48. MR 185016
4. A. W. Knapp, Review of "Lie groups, Lie algebras, and their representations" by V. S. Varadarajan, and "Compact Lie groups and their representations" by D. P. Želobenko, Bull. Amer. Math. Soc. 81 (1975), 865-872.
Hans Samelson, Notes on Lie algebras, Van Nostrand Reinhold Mathematical Studies, No. 23, Van Nostrand Reinhold Co., New York-London-Melbourne, 1969. MR 0254112
V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1974. MR 0376938
- 1.
- C. Chevalley, Theory of Lie groups, Princeton Univ. Press, Princeton, N. J., 1946.
- 2.
- H. Freudenthal and H. de Vries, Linear Lie groups, Academic Press, New York, 1969. MR 0260926
- 3.
- N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 5-48. MR 185016
- 4.
- A. W. Knapp, Review of "Lie groups, Lie algebras, and their representations" by V. S. Varadarajan, and "Compact Lie groups and their representations" by D. P. Želobenko, Bull. Amer. Math. Soc. 81 (1975), 865-872.
- 5.
- H. Samelson, Notes on Lie algebras, Van Nostrand, Princeton, N. J., 1969. MR 254112
- 6.
- V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Prentice-Hall, Englewood Cliffs, N. J., 1974. MR 376938
Review Information:
Reviewer:
J. E. Humphreys
Journal:
Bull. Amer. Math. Soc.
1 (1979), 515-518
DOI:
https://doi.org/10.1090/S0273-0979-1979-14600-7