Geodesic
Quelques applications de la cohomologie d'intersection
Séminaire Bourbaki : volume 1981/82, exposés 579-596, Astérisque, no. 92-93 (1982), Exposé no. 589, 25 p.

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Springer, T. A. Quelques applications de la cohomologie d'intersection, dans Séminaire Bourbaki : volume 1981/82, exposés 579-596, Astérisque, no. 92-93 (1982), Exposé no. 589, 25 p.. http://geodesic.mathdoc.fr/item/SB_1981-1982__24__249_0/
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     title = {Quelques applications de la cohomologie d'intersection},
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[1] A. Alexeevsky, Groupe de composantes de centralisateurs d'éléments unipotents dans les groupes algébriques semi-simples (en russe), Publ. Inst. Math. Tbilisi 52(1979), 5-27.

[2] A. Beilinson - J. Bernstein, Localisation de g -modules, C.R. Acad. Sc. Paris 292(1981), 15-18. | Zbl | MR

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

[4] A. Borel et al., Seminar on algebraic groups and related finite groups, Lect. Notes in Math. vol. 131, Springer-Verlag,1970. | Zbl | MR

[5] W. Borho - H. Kraft, Uber Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen, Comm. Math. Helv. 54(1976), 61-104. | Zbl | MR

[6] W. Borho - R. Macpherson, Représentations des groupes de Weyl et homologie d'intersection pour les variétés de nilpotents, C.R. Acad. Sc. Paris., 292(1981), 707-710. | Zbl | MR

[7] N. Bourbaki, Groupes et algèbres de Lie, Chap. IV, V, VI, Hermann, Paris, 1968. | Zbl | MR

[ 8] E. Brieskorn, Singular elements of semisimple algebraic groups,Actes Congrès Intern. Math. 1970 t.2, 279-284. | Zbl | MR

[9] J.-L. Brylinski, Differential operators on the flag varieties, dans : Tableaux de Young..., Astérisque, vol. 87-88(1982), 43-60. | Zbl | MR | Numdam

[10] J.-L. Brylinski, (Co) homologie d'intersection et faisceaux pervers, Sém. Bourbaki 1981/82, exposé n° 585, Astérisque 92-93(1982), 129-157. | Zbl | MR | Numdam | EuDML

[11] J.-L. Brylinski - M. Kashiwara, Kazhdan - Lusztig conjecture and holonomic systems, Inv. Math. 64(1981), 387-410. | Zbl | MR | EuDML

[12] M. Demazure, Invariants symétriques des groups de Weyl et torsion, Inv. Math. 21(1973), 287-301. | Zbl | MR | EuDML

[13] M. Demazure, Désingularisation des variétés de Schubert, Ann. Ec. Norm. Sup. (4) 7(1974), 53-88. | Zbl | MR | Numdam | EuDML

[14] V. V. Deodhar, Some characterizations of Bruhat ordening on a Coxeter group and determination of the relative Möbius function, Inv. Math. 39(1977), 187-198. | Zbl | MR | EuDML

[15] V. V. Deodhar, On the Kazhdan-Lusztig conjecture, Proc. Kon. Ak. v. Wet., Amsterdam, A 86(1982), 1-17. | Zbl | MR

[16] O. Gabber - A. Joseph, Towards the Kazhdan-Lusztig conjecture, Ann. Ec. Norm. Sup. 14(1981), 261-302. | Zbl | MR | Numdam | EuDML

[17] S. Gelfand - R. Macpherson, Verma modules and Schubert cells: a dictionary, Sém. d'Algèbre P. Dubreil-M.-P. Malliavin 1981, Lect. Notes in Math., vol. 924, Springer-Verlag, 1982. | Zbl | MR

[18] M. Goresky - R. Macpherson, Intersection homology II, à paraître dans Inv. Math.. | Zbl | EuDML

[19] H. Grauert - O. Riemenschneider, Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen, Inv. Math. 11(1970), 263-292. | Zbl | MR | EuDML

[20] A. Grothendieck, Local cohomology, Lect. Notes in Math. vol. 41, Springer-Verlag, 1967. | Zbl | MR

[21] W. Hesselink, Cohomology and the resolution of the nilpotent variety, Math. Ann. 223(1976), 249-252. | Zbl | MR | EuDML

[22] R. Hotta, On Springer's representations, J. Fac. Sci. Univ. Tokyo 28(1982), 863-876. | Zbl | MR

[23] R. Hotta - T. A. Springer, A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups, Inv. Math. 41(1977), 113-127. | Zbl | MR | EuDML

[24] J. C. Jantzen, Moduln mit einem höchsten Gewicht, Lect. Notes in Math. vol. 750, Springer-Verlag, 1979. | Zbl | MR

[25] M. Kashiwara, B-functions and holonomic systems, Inv. Math. 38(1976), 33-54. | Zbl | MR | EuDML

[26] D. Kazhdan - G. Lusztig, Representations of Coxeter groups and Hecke algebras, Inv. Math. 53(1979), 165-184. | Zbl | MR | EuDML

[27] D. Kazhdan - G. Lusztig, Schubert varieties and Poincaré duality, Proc. Symp. Pure Math. vol. 36, 185-203, Amer. Math. Soc. 1980. | Zbl | MR

[28] D. Kazhdan - G. Lusztig, A topological approach to Springer's representations, Adv. in Math. 38(1980), 222-228. | Zbl | MR

[29] G. Kempf, The Grothendieck-Cousin complex of an induced representation, Adv. in Math. 29(1978), 310-396. | Zbl | MR

[30] G. Kempf et al., Toroidal embeddings I, Lect. Notes in Math. vol. 339, Springer-Verlag, 1973. | Zbl | MR

[31] B. Kostant, Lie group representations in polynomial rings, Amer. J. Math. 85(1963), 327-404. | Zbl | MR

[32] A. Lascoux - M. Schützenberger, Polynômes de Kazhdan et Lusztig pour les Grassmanniennes, dans : Tableaux de Young..., Astérisque 87-88(1982), 249-266. | Zbl | Numdam

[33] G. Lusztig, Some problems in the representation theory of finite Chevalley groups, Proc. Symp. Pure Math. vol. 37, 313-317, Amer. Math. Soc. 1980. | Zbl | MR

[34] G. Lusztig, On a theorem of Benson and Curtis, J. Alg. 71(1981), 490-498. | Zbl | MR

[35] G. Lusztig, Green polynomials and singularities of unipotent classes, Adv. in Math. 42 (1981), 169-178. | Zbl | MR

[36] G. Lusztig, Singularities, character formulas and a q-analog of weight multiplicities, à paraître dans Comptes-Rendus Conf. sur la th. des singularités (Luminy, 1981). | Zbl | Numdam

[37] G. Lusztig, Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Inv. Math. 64(1981), 263-296. | Zbl | MR | EuDML

[38] G. Lusztig, Unipotent characters of the even orthogonal groups over a finite field, à paraître dans Trans. Amer. Math. Soc. | Zbl | MR

[39] G. Lusztig - D. Vogan, Singularities of closures of K-orbits on flag manifolds, à paraître. | Zbl

[40] I. G. Macdonald, Symmetric functions and Hall polynomials, Oxford Univ. Press, 1979. | Zbl | MR

[41] Z. Mebkhout, Une autre équivalence de catégoriés, à paraître.

[42] F. Rodier, Représentations de GL(n,k) où k est un corps p-adique, Sém. Bourbaki 1981/82, exposé n° 587, Astérisque 92-93(1982), 201-218. | Zbl | MR | Numdam | EuDML

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

[44] P. Slodowy, Four lectures on simple groups and singularities, Comm. Math. Inst. Utrecht, 1980. | Zbl | MR

[45] P. Slodowy, Simple singularities and simple algebraic groups, Lect. Notes in Math. vol. 815, Springer-Verlag, 1980. | Zbl | MR

[46] N. Spaltenstein, The fixed point set of a unipotent transformation on the flag manifold, Proc. Kon. Ak. Wet. Amsterdam 79(1976), 452-456. | Zbl | MR

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

[48] T. A. Springer, Linear algebraic groups, Birkhäuser, 1981. | Zbl | MR

[49] B. Srinivasan, Representations of finite Chevalley groups, Lect. Notes in Math. vol. 764, Springer-Verlag, 1979. | Zbl | MR

[50] R. Steinberg, On the desingularization of the unipotent variety, Inv. Math. 36(1976), 209-224. | Zbl | MR

[51] J.-L. Verdier, Stratifications de Whitney et théorème de Bertini-Sard, Inv. Math. 36(1976), 295-312. | Zbl | MR

[52] D. A. Vogan, Jr, Irreducible characters of semisimple Lie groups III, Proof of Kazhdan-Lusztig conjecture in the integral case, preprint M.I.T. | MR

[53] A. V. Zelevinsky, Un analogue p-adique de la conjecture de Kazhdan-Lusztig (en russe), Funktion. Anal. 15(1981), 9-21. | Zbl | MR