Bulletin of the American Mathematical Society

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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.

James Arthur, On some problems suggested by the trace formula, Lie group representations, II (College Park, Md., 1982/1983) Lecture Notes in Math., vol. 1041, Springer, Berlin, 1984, pp. 1–49. MR 748504, DOI 10.1007/BFb0073144

L. Auslander and B. Kostant, Polarization and unitary representations of solvable Lie groups, Invent. Math. 14 (1971), 255–354. MR 293012, DOI 10.1007/BF01389744

3.

D. Barbasch and D. Vogan, Problems in primitive ideal theory, Proc. Durham Conf. on Enveloping Algebras (to appear).

I. N. Bernšteĭn, I. M. Gel′fand, and S. I. Gel′fand, Structure of representations that are generated by vectors of highest weight, Funckcional. Anal. i Priložen. 5 (1971), no. 1, 1–9 (Russian). MR 0291204

5.

W. Borho, A survey on enveloping algebras of semisimple Lie algebras, Proc. Windsor Conf. on Lie Algebras and Related Topics (to appear).

Walter Borho, Peter Gabriel, and Rudolf Rentschler, Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume), Lecture Notes in Mathematics, Vol. 357, Springer-Verlag, Berlin-New York, 1973 (German). MR 0376790

Walter Borho and Jens Carsten Jantzen, Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra, Invent. Math. 39 (1977), no. 1, 1–53 (German, with English summary). MR 453826, DOI 10.1007/BF01695950

Jacques Dixmier, Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII, Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974 (French). MR 0498737

Michel Duflo, Sur la classification des idéaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie semi-simple, Ann. of Math. (2) 105 (1977), no. 1, 107–120. MR 430005, DOI 10.2307/1971027

Harish-Chandra, Representations of a semisimple Lie group on a Banach space. I, Trans. Amer. Math. Soc. 75 (1953), 185–243. MR 56610, DOI 10.1090/S0002-9947-1953-0056610-2

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

Jens Carsten Jantzen, Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics, vol. 750, Springer, Berlin, 1979 (German). MR 552943

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, DOI 10.1016/0021-8693(80)90217-3

A. Joseph, Goldie rank in the enveloping algebra of a semisimple Lie algebra. III, J. Algebra 73 (1981), no. 2, 295–326. MR 640039, DOI 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.

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 0748504

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.