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Book Review
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Book Information
Author(s):
David A. Vogan Jr.
Title:
Representations of real reductive Lie groups
Additional book information:
Progress in Mathematics, vol. 15, Birkhäuser, Boston, Basel, Stuttgart, 1981, xvii + 754 pp., $35.00
References:
- 1.
- J.-L. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math. 64 (1981), 387-410. MR 632980
- 2.
- E. Cartan, Les groupes projectifs qui ne laissent invariante aucune multiplicité plane, Oeuvres Complètes, II, Gauthier-Villars, Paris, 1952, pp. 355-398. MR 50516
- 3.
- J. C. Jantzen, Moduln mit einem höchsten Gewicht, Lecture Notes in Math., vol. 750, Springer-Verlag, Berlin and New York, 1979. MR 552943
- 4.
- D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. MR 560412
- 5.
- G. Lusztig and D. Vogan, Singularities of closures of K-orbits on flag manifolds, preprint. MR 689649
- 6.
- F. Peter and H. Weyl, Die Vollständigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe, H. Weyl, Ges. Abh., Bd. III, Springer-Verlag, Berlin and New York, 1968, pp. 58-75.
- 7.
- T. A. Springer, Quelques applications de la cohomologie d'intersection, Sém. Bourbaki, no. 589, 1982.
- 8.
- D. A. Vogan, Irreducible characters of semisimple Lie groups. III, Proof of Kazhdan-Lusztig conjectures in the integral case, preprint. MR 689650
- 9.
- H. Weyl, Theorie der Darstellung, kontinuierlicher halbeinfacher Gruppen durch lineare Transformationen, Ges. Abh., Bd. II, Springer-Verlag, Berlin and New York, 1968, pp. 543-647.
Additional Information:
Reviewer(s):
T. A.
Springer
Review Information:
Journal:
Bull. Amer. Math. Soc.
8
(1983),
365-371.
DOI:
10.1090/S0273-0979-1983-15126-1
PII:
S 0273-0979(1983)15126-1
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