Représentations linéaires des groupes finis «algébriques»
Séminaire Bourbaki (1975-1976)
- Volume: 18, page 256-273
- ISSN: 0303-1179
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topSerre, Jean-Pierre. "Représentations linéaires des groupes finis «algébriques»." Séminaire Bourbaki 18 (1975-1976): 256-273. <http://eudml.org/doc/109888>.
@article{Serre1975-1976,
author = {Serre, Jean-Pierre},
journal = {Séminaire Bourbaki},
keywords = {Deligne-Lusztig representations; reductive algebraic group over finite field of prime characteristic},
language = {fre},
pages = {256-273},
publisher = {Springer-Verlag},
title = {Représentations linéaires des groupes finis «algébriques»},
url = {http://eudml.org/doc/109888},
volume = {18},
year = {1975-1976},
}
TY - JOUR
AU - Serre, Jean-Pierre
TI - Représentations linéaires des groupes finis «algébriques»
JO - Séminaire Bourbaki
PY - 1975-1976
PB - Springer-Verlag
VL - 18
SP - 256
EP - 273
LA - fre
KW - Deligne-Lusztig representations; reductive algebraic group over finite field of prime characteristic
UR - http://eudml.org/doc/109888
ER -
References
top- [1] A. Borel - Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math., 35 (1976), p. 233-259. Zbl0334.22012MR444849
- [2] A. Borel et al. - Seminar on Algebraic Groups and Related Finite Groups, Lecture Notes in Math.131, Springer-Verlag, 1970. Zbl0192.36201MR258838
- [3] P. Deligne - Rapport sur la formule des traces, SGA 4 1/2 , à paraître. Zbl0349.14009
- [4] P. Deligne and G. Lusztig - Representations of reductive groups over finite fields, Ann. of Math., 103 (1976), p. 103-161. Zbl0336.20029MR393266
- [5] V. Ennola - On the characters of the finite unitary groups, Ann. Acad. Sci. Fenn., ser. A, n° 313 (1963). Zbl0109.26001MR156900
- [6] W. Feit - Divisibility of projective modules of finite groups, Journal of Pure and Applied Algebra, 8 (1976), p. 183-185. Zbl0373.20007MR407123
- [7] F.G. Frobenius - Über Gruppencharaktere, Sitz. König. Pr. Akad. Wiss.Berlin (1896), p. 985-1021 (Ges. Abh., III, p. 1-37). JFM27.0092.01
- [8] J.A. Green - The characters of the finite general linear groups, Trans. A.M.S.80 (1955), p. 402-447. Zbl0068.25605MR72878
- [9] A. Grothendieck - Formule de Lefschetz et rationalité des fonctions L , Sém. Bourbaki, exposé 279 (1964), Benjamin, New York (reproduit dans "Dix Exposés sur la cohomologie des schémas", North-Holland, 1968). Zbl0199.24802
- [10] D. Kazhdan - Proof of Springer's Hypothesis, à paraître. Zbl0391.22006
- [11] G. Lusztig - Sur la conjecture de Macdonald, C.R. Acad. Sci. Paris, Série A, 280 (1975), p. 317-320. Zbl0306.20046MR387394
- [12] G. Lusztig - Divisibility of projective modules of finite Chevalley groups by the Steinberg module, à paraître. Zbl0358.20057
- [13] G. Lusztig - On the Green polynomials of classical groups, Proc. London Math. Soc., à paraître. Zbl0371.20037
- [14] G. Lusztig - On the finiteness of the number of unipotent classes, Invent. Math., à paraître. Zbl0371.20039MR419635
- [15] G. Lusztig - Coxeter orbits and eigenspaces of Frobenius, Invent. Math., à paraître. Zbl0366.20031MR453885
- [16] I.G. Macdonald - Principal parts and the degeneracy rule, non publié.
- [17] W. Schmid - L2-cohomology and the discrete series, Ann. of Math., 103 (1976), p. 375-394. Zbl0333.22009MR396856
- [18] T.A. Springer - Generalization of Green's polynomials, Proc. Symp. Pure Math.XXI (1971), A.M.S., p. 149-153. Zbl0247.20049MR327926
- [19] T.A. Springer - On the characters of certain finite groups, Lie groups and their representations (ed. by I. M. Gelfand), Budapest (1975), p. 621- 644. Zbl0347.20024MR396779
- [20] B. Srinivasan - The Steinberg character of a finite simple group of Lie type, J. Austr. Math. Soc., 12 (1971), p. 1-14. Zbl0213.30305MR291317
- [21] B. Srinivasan - Isometries in finite groups of Lie type, J. of Algebra, 26 (1973), p. 556-563. Zbl0284.20049MR325797
- [22] R. Steinberg - Endomorphisms of linear algebraic groups, Memoirs Amer. Math. Soc., 80, 1968. Zbl0164.02902MR230728
- [23] J. Tate - Algebraic cycles and poles of zeta functions, Arith. Alg. Geometry (Proc. Conf. Purdue Univ., 1963), Harper and Row, New York, 1965, p. 93-110. Zbl0213.22804MR225778
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