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Book Review
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Book Information
Author(s):
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:
- 1.
- J. Arthur, On some problems suggested by the trace formula, Lie Group Representations in Harmonic Analysis, II (R. Herb, R. Lipsman and J. Rosenberg, eds.), Lecture Notes in Math., vol. 1041, Springer-Verlag, Berlin and New York, 1984. MR 748504
- 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.
- J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer-Verlag, Berlin and New York, 1972. MR 499562
- 12.
- J. C. Jantzen, Moduln mit einem Höchsten Gewicht, Lecture Notes in Math., vol. 750, Springer-Verlag, Berlin and New York, 1979. MR 552943
- 13.
- A. Joseph, Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II, J. Algebra 65 (1980), 269-283, 284-306. MR 585721
- 14.
- A. Joseph, Goldie rank in the enveloping algebra of a semisimple Lie algebra. III, J. Algebra 73 (1981), 295-326. MR 640039
- 15.
- D. N. Verma, Structure of certain induced representations of semi-simple Lie algebras, Dissertation, Yale Univ., 1966.
Additional Information:
Reviewer(s):
David A.
Vogan
Jr.
Review Information:
Journal:
Bull. Amer. Math. Soc.
12
(1985),
279-283.
DOI:
10.1090/S0273-0979-1985-15380-7
PII:
S 0273-0979(1985)15380-7
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