Book Review
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MathSciNet review:
1567415
Full text of review:
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This review is available free of charge.
Book Information:
Author:
Joseph J. Rotman
Title:
An introduction to homological algebra
Additional book information:
Academic Press, New York, 1979, xi + 376 pp., $26.50.
J.-L. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math. 64 (1981), no. 3, 387–410. MR 632980, DOI 10.1007/BF01389272
Elie Cartan, Œuvres complètes. Partie I. Groupes de Lie, Gauthier-Villars, Paris, 1952 (French). MR 0050516
Jens Carsten Jantzen, Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics, vol. 750, Springer, Berlin, 1979 (German). MR 552943
David Kazhdan and George Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), no. 2, 165–184. MR 560412, DOI 10.1007/BF01390031
George Lusztig and David A. Vogan Jr., Singularities of closures of $K$-orbits on flag manifolds, Invent. Math. 71 (1983), no. 2, 365–379. MR 689649, DOI 10.1007/BF01389103
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.
David A. Vogan, Irreducible characters of semisimple Lie groups. III. Proof of Kazhdan-Lusztig conjecture in the integral case, Invent. Math. 71 (1983), no. 2, 381–417. MR 689650, DOI 10.1007/BF01389104
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.
- 1.
- J. -L. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math. 64 (1981), 387-410. MR 0632980
- 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.
Review Information:
Reviewer:
J. Lambek
Journal:
Bull. Amer. Math. Soc.
8 (1983), 371-375
DOI:
https://doi.org/10.1090/S0273-0979-1983-15128-5
