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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:

Author: Jens C. Jantzen
Title: Einhüllende Algebren halbeinfacher Lie-Algebren
Additional book information: Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge · Band 3, A Series of Modern Surveys in Mathematics, Springer-Verlag, Berlin, 1983, 298 pp., DM 118; Approx. U.S. $45.80. ISBN 3-5401-2178-1.

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

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  • 2. L. Auslander and B. Kostant, Polarization and unitary representations of solvable Lie groups, Invent. Math. 14 (1971), 255-354. MR 293012
  • 3. D. Barbasch and D. Vogan, Problems in primitive ideal theory, Proc. Durham Conf. on Enveloping Algebras (to appear).
  • 4. I. N. Bernstein, I. M. Gelfand and S. I. Gelfand, Structure of representations generated by vectors of highest weight, Functional Anal. Appl. 5 (1972), 1-8. MR 291204
  • 5. W. Borho, A survey on enveloping algebras of semisimple Lie algebras, Proc. Windsor Conf. on Lie Algebras and Related Topics (to appear).
  • 6. W. Borho, P. Gabriel and R. Rentschler, Primideale in Einhüllenden auflösbarer Lie-Algebren, Lecture Notes in Math., vol. 357, Springer-Verlag, Berlin and New York, 1973. MR 376790
  • 7. W. Borho and J. C. Jantzen, Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra, Inven. Math. 39 (1977), 1-53. MR 453826
  • 8. J. Dixmier, Algèbres enveloppantes, Gauthier-Villars, Paris, 1974. MR 498737
  • 9. M. Duflo, Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple, Ann. of Math. (2) 105 (1977), 107-120. MR 430005
  • 10. Harish-Chandra, Representations of semi-simple Lie groups. I, Trans. Amer. Math. Soc. 75 (1953), 185-243. MR 56610
  • 11. James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, vol. 9, Springer-Verlag, New York-Berlin, 1978. Second printing, revised. MR 499562
  • 12. Jens Carsten Jantzen, Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics, vol. 750, Springer, Berlin, 1979 (German). MR 552943
  • 13. A. Joseph, Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II, J. Algebra 65 (1980), no. 2, 269–283, 284–306. MR 585721, https://doi.org/10.1016/0021-8693(80)90217-3
  • 14. A. Joseph, Goldie rank in the enveloping algebra of a semisimple Lie algebra. III, J. Algebra 73 (1981), no. 2, 295–326. MR 640039, https://doi.org/10.1016/0021-8693(81)90324-0
  • 15. D. N. Verma, Structure of certain induced representations of semi-simple Lie algebras, Dissertation, Yale Univ., 1966.

Review Information:

Reviewer: David A. Vogan, Jr.
Journal: Bull. Amer. Math. Soc. 12 (1985), 279-283
DOI: https://doi.org/10.1090/S0273-0979-1985-15380-7
American Mathematical Society