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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Authors: M. A. Naĭmark and A. I. Štern
Title: Theory of group representations
Additional book information: translated by Elizabeth Hewitt, translation edited by Edwin Hewitt, Grundlehren der mathematischen Wissenschaften, vol. 246, Springer-Verlag, Berlin, Heidelberg, and New York, 1982, ix + 568 pp., $59.00. ISBN 0-3879-0602-9.

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

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  • 3. Jean Dieudonné, Special functions and linear representations of Lie groups, CBMS Regional Conference Series in Mathematics, vol. 42, American Mathematical Society, Providence, R.I., 1980. Expository lectures from the CBMS Regional Conference held at East Carolina University, Greenville, North Carolina, March 5–9, 1979. MR 557540
  • 4. Ferdinand Georg Frobenius, Gesammelte Abhandlungen. Bände I, II, III, Herausgegeben von J.-P. Serre, Springer-Verlag, Berlin-New York, 1968 (German). MR 0235974
  • 5. Sigurdur Helgason, Topics in harmonic analysis on homogeneous spaces, Progress in Mathematics, vol. 13, Birkhäuser, Boston, Mass., 1981. MR 632696
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  • 7. Roger Howe, On the role of the Heisenberg group in harmonic analysis, Bull. Amer. Math. Soc. (N.S.) 3 (1980), no. 2, 821–843. MR 578375, https://doi.org/10.1090/S0273-0979-1980-14825-9
  • 8. Wu-yi Hsiang, Cohomology theory of topological transformation groups, Springer-Verlag, New York-Heidelberg, 1975. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 85. MR 0423384
  • 9. James E. Humphreys, Introduction to Lie algebras and representation theory, Springer-Verlag, New York-Berlin, 1972. Graduate Texts in Mathematics, Vol. 9. MR 0323842
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  • 11. 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.
  • 12. Serge Lang, 𝑆𝐿₂(𝑅), Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1975. MR 0430163
  • 13. G. W. Mackey, Harmonic analysis as the exploitation of symmetry―a historical survey, Bull. Amer. Math. Soc. (N.S.) 3 (1980), 543-698.
  • 14. Jean-Pierre Serre, Linear representations of finite groups, Springer-Verlag, New York-Heidelberg, 1977. Translated from the second French edition by Leonard L. Scott; Graduate Texts in Mathematics, Vol. 42. MR 0450380
  • 15. V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1974. Prentice-Hall Series in Modern Analysis. MR 0376938
  • 16. Joseph A. Wolf, Spaces of constant curvature, 5th ed., Publish or Perish, Inc., Houston, TX, 1984. MR 928600
  • 17. D. P. Zhelobenko, \cyr Kompaktnye gruppy Li i ikh predstavleniya., Izdat. “Nauka”, Moscow, 1970 (Russian). MR 0473097
    D. P. Želobenko, Compact Lie groups and their representations, American Mathematical Society, Providence, R.I., 1973. Translated from the Russian by Israel Program for Scientific Translations; Translations of Mathematical Monographs, Vol. 40. MR 0473098

Review Information:

Reviewer: Jonathan Rosenberg
Journal: Bull. Amer. Math. Soc. 9 (1983), 115-121
DOI: https://doi.org/10.1090/S0273-0979-1983-15178-9