Détermination des caractères des groupes finis simples : travaux de Lusztig

Cartier, Pierre

Séminaire Bourbaki : volume 1985/86, exposés 651-668, Astérisque, no. 145-146 (1987), Exposé no. 658, 25 p.

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     author = {Cartier, Pierre},
     title = {D\'etermination des caract\`eres des groupes finis simples : travaux de {Lusztig}},
     booktitle = {S\'eminaire Bourbaki : volume 1985/86, expos\'es 651-668},
     series = {Ast\'erisque},
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Cartier, Pierre. Détermination des caractères des groupes finis simples : travaux de Lusztig, dans Séminaire Bourbaki : volume 1985/86, exposés 651-668, Astérisque, no. 145-146 (1987), Exposé no. 658, 25 p. http://www.numdam.org/item/SB_1985-1986__28__137_0/

Bibliographie
Cité par

[1] A. Borel (éditeur) - Seminar on algebraic groups and related finite groups, Lect. Notes in Math., 131(1970), Springer, Berlin. | MR | Zbl

[2] N. Bourbaki - Groupes et Algèbres de Lie, chap. 4 à 6, Masson, Paris, 1981. | MR | Zbl

[3] N. Bourbaki - Groupes et Algèbres de Lie, chap. 7 et 8, Hermann, Paris, 1975. | MR | Zbl

[4] R. W. Carter - Simple groups of Lie type, Wiley, New York, 1972. | MR | Zbl

[5] R. W. Carter - Finite groups of Lie type : conjugacy classes and complex characters, Wiley-Interscienoe, New York, 1985. | MR | Zbl

[6] D. Gorenstein - Finite simple groups, an introduction to their classification, Plenum Press, New York, 1982. | MR | Zbl

[7] R. Steinberg - Lectures on Chevalley groups, Yale University, 1967. | MR

[8] J.-L. Brylinski - (Co)-homologie d'intersection et faisceaux pervers, exposé n° 585, Astérisque 92-93(1982). | Numdam | MR | Zbl

[9] J.-P. Serre - Représentations linéaires des groupes finis "algébriques" [d'après Deligne - Lusztig], exposé n° 487, Lect. Notes in Math., 567(1977), Springer. | Numdam | MR | Zbl

[10] T. A. Springer - Caractères de groupes de Chevalley finis, exposé n° 429, Lect. Notes in Math., 383(1974), Springer. | Numdam | MR | Zbl

[11] T. A. Springer - Quelques applications de la cohomologie d'intersection, exposé n° 589, Astérisque 105-106(1983). | Numdam | Zbl

[12] G. Lusztig - The discrete series of GLn over a finite field, Annals of Mathematics Studies, 81(1974), Princeton University Press. | MR | Zbl

[13] G. Lusztig - On the Green polynomials of classical groups, Proc. London Math. Soc., 33(1976), p. 443-475. | MR | Zbl

[ 14] G. Lusztig - Coxeter orbits and eigenspaces of Frobenius, Invent. Math., 38 (1976/77), p. 101-159. | MR | Zbl

[15] G. Lusztig - Representations of finite Chevalley groups, CBMS Regional Conference Series in Mathematics (A.M.S.), 39(1977). | MR | Zbl

[16] G. Lusztig - On the finiteness of the number of unipotent classes, Invent. Math., 34(1976), p. 201-213. | MR | Zbl

[17] G. Lusztig - Characters of reductive groups over a finite field, Annals of Math. Studies, 107(1984), Princeton University Press. | MR | Zbl

[18] G. Lusztig - Intersection cohomology complexes on a reductive group, Invent. Math., 75(1984), p. 205-272. | MR | Zbl

[19] G. Lusztig - Left cells in Weyl groups, Lect. Notes in Math., 1024(1983), Springer. | MR | Zbl

[20] G. Lusztig - Characters of reductive groups over finite fields, Proceedings of the Int. Congress of Math., Warszawa, 1983, p. 877-880. | MR | Zbl

[21] G. Lusztig et D. Vogan - Singularities of closures of K-orbits on a flag manifold, Invent. Math., 71 (1983) , p. 365-379. | MR | Zbl

[22] P. Deligne et G. Lusztig - Representations of reductive groups over finite fields, Ann. of Math., 103(1976)., p. 103-161. | MR | Zbl

[23] J. A. Green - The characters of the finite linear groups, Trans. Amer. Math. Soc., 80(1955), p. 402-447. | MR | Zbl

[24] T. Shoji - On the Springer representations of the Weyl groups of classical algebraic groups, Comm. Algebra, 7(1979), p. 1713-1745 (et corrections p. 2027-2033). | MR | Zbl

[25] T. A. Springer - Trigonometric sums, Green functions of finite groups and representations of Weyl groups, Invent. Math., 36(1976), p. 173-207. | MR | Zbl

[26] T. A. Springer - A construction of representations of Weyl groups, Invent. Math., 44(1978), p. 279-293. | MR | Zbl

[27] T. Asai - On the zeta functions of the varieties X(w) of the split classical groups and the unitary groups, Osaka J. Math., 20(1983), p. 21-32. | MR | Zbl

[28] C. T. Benson et C. W. Curtis - On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc., 165 (1972) , p. 251-273 et 202(1975), p. 405-406. | MR | Zbl

[29] C. W. Curtis, N. Iwahori, R. Kilmoyer - Hecke algebras and characters of parabolic type of finite groups with (BN) pairs, Publ. Math. IHES, 40(1972), p. 81-116. | Numdam | MR | Zbl

[30] F. Digne et J. Michel - Descente de Shintani des caractères d' un groupe de Chevalley fini, C.R. Acad. Sci. Paris, t. 287 (1978), Série A, p. 811-814. | Zbl

[31] P. N. Hoefsmit - Representations of Hecke algebras of finite groups with BN-pairs of classical type, Ph.D. thesis, Univ. of British Columbia, Vancouver, 1974.

[32] R. B. Howlett et G. I. Lehrer - Induced cuspidal representations and generalized Hecke rings, Invent. Math., 58(1980), p. 37-64. | MR | Zbl

[33] N. Iwahori - On the structure of a Hecke ring of a Chevalley group over a finite field, J. Fac. Sci. Univ. Tokyo, 10(1964), p. 215-236. | MR | Zbl

[34] A. A. Beilinson, J. Bernstein et P. Deligne - Faisceaux pervers, Astérisque 100(1982). | MR | Zbl

[35] A. Borel Et Al. - Intersection cohomology, Progress in Math., vol. 50(1984), Birkhaüser, Boston. | MR | Zbl

[36] P. Deligne - SGA 41/2, Cohomologie étale, Lecture Notes in Math., 569 (1977) , Springer. | MR | Zbl

[37] P. Deligne - La conjecture de Weil, I et II, Publ. Math. IHES, 43(1974), p. 273-307 et 52(1980), p. 137-252. | Numdam | MR | Zbl

[38] J. S. Milne - Etale cohomology, Princeton University Press, 1980. | MR | Zbl