Book Review
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MathSciNet review:
1567327
Full text of review:
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Book Information:
Author:
Bhama Srinivasan
Title:
Representations of finite Chevalley groups
Additional book information:
Lecture Notes in Math., vol. 764, Springer-Verlag, Berlin, Heidelberg, 1979, ix + 177 pp., $11.80.
1. F. G. Frobenius, Berliner Sitz. (1897), 994.
2. I. Schur, J. für Math. 132 (1907), 85.
3. E. Hecke, Abh. Hamburg. Math. Sem. 6 (1928), 235.
J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402–447. MR 72878, DOI 10.1090/S0002-9947-1955-0072878-2
C. Chevalley, Sur certains groupes simples, Tohoku Math. J. (2) 7 (1955), 14–66 (French). MR 73602, DOI 10.2748/tmj/1178245104
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
P. Deligne and G. Lusztig, Representations of reductive groups over finite fields, Ann. of Math. (2) 103 (1976), no. 1, 103–161. MR 393266, DOI 10.2307/1971021
D. Kazhdan, Proof of Springer’s hypothesis, Israel J. Math. 28 (1977), no. 4, 272–286. MR 486181, DOI 10.1007/BF02760635
Charles W. Curtis, Representations of finite groups of Lie type, Bull. Amer. Math. Soc. (N.S.) 1 (1979), no. 5, 721–757. MR 537625, DOI 10.1090/S0273-0979-1979-14648-2
- 1.
- F. G. Frobenius, Berliner Sitz. (1897), 994.
- 2.
- I. Schur, J. für Math. 132 (1907), 85.
- 3.
- E. Hecke, Abh. Hamburg. Math. Sem. 6 (1928), 235.
- 4.
- J. A. Green, Trans. Amer. Math. Soc. 80 (1955), 402. MR 0072878
- 5.
- C. Chevalley, Tôhoku Math. J. 7 (1955), 14. MR 73602
- 6.
- D. Kazhdan and G. Lusztig, Invent. Math. 53 (1979), 165. MR 560412
- 7.
- P. Deligne and G. Lusztig, Ann. of Math. 103 (1976), 103. MR 393266
- 8.
- D. Kazhdan, Israel J. Math. 28 (1977), 272. MR 486181
- 9.
- C. W. Curtis, Bull. Amer. Math. Soc. (N. S. ) 1 (1979), 721. Further references may be found in this excellent survey article. MR 537625
Review Information:
Reviewer:
Robert Steinberg
Journal:
Bull. Amer. Math. Soc.
5 (1981), 79-83
DOI:
https://doi.org/10.1090/S0273-0979-1981-14928-4