Geometry of orbits and Springer correspondence
Orbites unipotentes et représentations - I. Groupes finis et Algèbres de Hecke, Astérisque no. 168  (1988), p. 61-140
@incollection{AST_1988__168__61_0,
     author = {Shoji, Toshiaki},
     title = {Geometry of orbits and Springer correspondence},
     booktitle = {Orbites unipotentes et repr\'esentations - I. Groupes finis et Alg\`ebres de Hecke},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {168},
     year = {1988},
     pages = {61-140},
     zbl = {0769.20018},
     language = {en},
     url = {http://www.numdam.org/item/AST_1988__168__61_0}
}
Shoji, Toshiaki. Geometry of orbits and Springer correspondence, in Orbites unipotentes et représentations - I. Groupes finis et Algèbres de Hecke, Astérisque, no. 168 (1988), pp. 61-140. http://www.numdam.org/item/AST_1988__168__61_0/

[1] Alvis, D. and Lusztig, G.: On Springer's correspondence for simple groups of type E n ( n = 6 , 7 , 8 ) , Math. Proc. Camb. Phil. Soc. 92 (1982), 65-72. | Article | Zbl 0492.20028

[2] Bardsley, P. and Richardson, R. W.: Étale slices for algebraic transformation groups in characteristic p, Proc. London Math Soc. 51 (1985), 295-317. | Article | Zbl 0604.14037

[3] Beilinson, A. A., Bernstein, J. and Deligne, P.: Faisceaux pervers. Astérisque 100 (1982), Société Mathématique de France. | Numdam | Zbl 0536.14011

[4] Beynon, W. M. and Spaltenstein, N. : Green functions of finite Chevalley groups of type E n ( n = 6 , 7 , 8 ) , J. of Algebra 88 (1984), 584-614. | Article | Zbl 0539.20025

[5] Borho, W.: Nilpotent orbits, primitive ideals, and characteristic classes, :in Algebraic groups Utrecht 1986, Lecture Note in Math. 1271, (1987) 17-32, Springer-Verlag. | Article | Zbl 0638.22008

[6] Borho, W. and Macpherson, R.: Représentations des groupes des Weyl et homologie d'intersection pour les variétés nilpotentes, C. R. Acad. Sci. Paris t. 292 (1981), série A, 707-710. | Zbl 0467.20036

[7] Brylinski, J.-L.: Transformations canoniques, dualité projective, théorie de Lefschetz, transformations de Fourier et somme trigonométriques, Astérisque 140-141 (1986), 3-134, Société Mathématique de France. | Numdam | Zbl 0624.32009

[8] Carter, R. W.: Finite groups of Lie type: conjugacy classes and complex characters, Weily Interscience, 1985. | Zbl 0567.20023

[9] De Concini, C., Lusztig, G. and Procesi, C.: Homology of the zero-set of a nilpotent vector field on a flag manifold, J. of American Math. Soc., 1 (1988), 15-34. | Article | Zbl 0646.14034

[10] Deligne, P. and Lusztig, G.: Representations of reductive groups over finite fields, Ann. of Math. 103 (1976), 103-161. | Article | Zbl 0336.20029

[11] Ginsburg, V.: g-modules. Springer's representations and bivariant Chern classes. Adv. in Math. 61 (1986), 1-48. | Article | Zbl 0601.22008

[12] Green, J. A.: The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402-447. | Article | Zbl 0068.25605

[13] Goresky, M. and Macpherson, R.: Intersection homology II, Invent. Math. 72 (1983), 77-129. | Article | Zbl 0529.55007

[14] Hotta, R.: On Springer's representations, J. Fac. Sci., Univ. of Tokyo, IA 28 (1982), 836-876. | Zbl 0584.20033

[15] Hotta, R.: On Joseph's construction of Weyl group representations, Tohoku Math. J. 36 (1984), 49-74. | Article | Zbl 0545.20029

[16] Hotta, R. and Kashiwara, M.: The invariant holonomic system on a semisimple Lie algebra, Invent. Math. 75 (1984), 327-358. | Article | Zbl 0538.22013

[17] Hotta, R. and Springer, T. A.: A specialization theorem for certain Weyl group representations and an application to the Green functions of the untary groups, Invent. Math. 41 (1977), 113-127. | Article | Zbl 0389.20037

[18] Joseph, A.: On the variety of a highest weight module, J. of Algebra 88 (1984), 238-278. | Article | Zbl 0539.17006

[19] Katz, N. and Laumon, G.: Transformation de Fourier et majoration de somme exponentielles, Publ. Math. I.H.E.S. 62 (1985), 361-418. | Article | Numdam | Zbl 0603.14015

[20] Kawanaka, N.: Generalized Gelfand-Greav representations of exceptional simple algebraic groups over a finite field I, Invent. Math. 84 (1986), 575-616. | Article | Zbl 0596.20028

[21] Kazhdan, D. : Proof of Springer's hypothesis, Israel J. Math. 28 (1977), 272-286. | Article | Zbl 0391.22006

[22] Kazhdan, D. and Lusztig, G.: A topological approach to Springer's representations, Adv. in Math. 38 (1980), 222-228. | Article | Zbl 0458.20035

[23] Lusztig, G.: Green polynomials and singularities of unipotent classes, Adv. in Math. 42 (1981), 169-178. | Article | Zbl 0473.20029

[24] Lusztig, G.: Characters of reductive groups over a finite field, Annals of Math. Studies 107, Princeton Univ. Press, 1984. | Zbl 0556.20033

[25] Lusztig, G.: Intersection cohomology complex on a reductive group, Invent. Math. 75 (1984), 205-272. | Article | Zbl 0547.20032

[26] Lusztig, G.: Character sheaves, I Adv. in Math. 56 (1985), 193-237. | Article | Zbl 0586.20018

Lusztig, G.: Character sheaves, II Adv. in Math. 57 (1985), 226-265. | Article | Zbl 0586.20019

Lusztig, G.: Character sheaves, III Adv. in Math. 57 (1985), 266-315. | Article | Zbl 0594.20031

Lusztig, G.: Character sheaves, IV Adv. in Math. 59 (1986), 1-63. | Article | Zbl 0602.20035

Lusztig, G.: Character sheaves, V Adv. in Math. 61 (1986), 103-155. | Article | Zbl 0602.20036

[27] Lusztig, G.: On the character values of finite Chevalley groups at unipotent elements, J. of Algebra, 104 (1986), 146-194. | Article | Zbl 0603.20037

[28] Lusztig, G.: Fourier transforms on a semisimple Lie algebra over 𝐅 q , : in Algebraic groups Utrecht 1986, Lecture Notes in Math. 1271 (1987), 177-188, Springer-Verlag. | Article | Zbl 0654.20047

[29] Lusztig, G. and Spaltenstein, N.: On the generalized Springer correspondence for classical groups, : in Algebraic groups and related topics. Adv. Studies in Pure Math. 6, Kinokuniya and Norht-Holland, (1985), 289-316. | Article | Zbl 0579.20035

[30] Serre, J.-P.: Zeta and L-functions, : in Arithmetic Algebraic geometry, New York, Harper & Row (1965), 82-92. | Zbl 0171.19602

[31] Shoji, T.: On the Springer representations of the Weyl groups of classical algebraic groups, Comm. in Algebra 7 (1979), 1713-1745. | Article | Zbl 0423.20042

Shoji, T.: On the Springer representations of the Weyl groups of classical algebraic groups, Comm. in Algebra 7 (1979), 2027-2033. | Article | Zbl 0426.20028

[32] Shoji, T.: On the Springer representations of Chevalley groups of type F4, Comm. in Algebra 8 (1980), 409-440. | Article | Zbl 0434.20026

[33] Shoji, T.: On the Green polynomials of Chevalley groups of type F4, Comm. in Algebra 10 (1982), 505-543. | Article | Zbl 0485.20031

[34] Shoji, T.: On the Green polynomials of classical groups, Invent. Math. 74 (1983), 239-267. | Article | Zbl 0525.20027

[35] Slodowy, P.: Four lectures on simple groups and singularities, Comm. of Math. Inst. Rijksuniversiteit Utrecht, 11 (1980). | Zbl 0425.22020

[36] Spaltenstein, N. : Classes unipotentes et sous-groupes de Borel, Lecture Note in Math. 946 (1982), Springer-Verlag. | Zbl 0486.20025

[37] Spaltenstein, N. : Appendix, Math. Proc. Camb. Phil. Soc. 92 (1982), 73-78. | Article

[38] Spaltenstein, N. : On the generalized Springer correspondence for exceptional groups, in Algebraic groups and related topics, Adv. Studies in Pure Math. 6 Kinokuniya and North-Holland (1985), 317-338. | Article | Zbl 0574.20029

[39] Springer, T. A.: Trigonometric sums, Green function of finite groups and representations of Weyl groups, Invent. Math. 36 (1976), 173-207. | Article | Zbl 0374.20054

[40] Springer, T. A.: A construction of representations of Weyl groups, Invent. Math. 44 (1978), 279-293. | Article | Zbl 0376.17002

[41] Springer, T. A.: A purity result for fixed point varieties in flag manifolds, J. Fac. Sci. Univ. of Tokyo, IA 31 (1984), 271-282. | Zbl 0581.20048

[42] Steinberg, R.: Conjugacy classes in algebraic groups, Lecture Note in Math. 366 (1974), Springer-Verlag. | Zbl 0281.20037

[43] Steinberg, R.: On the desingularization of the unpotent variety, Invent. Math. 36 (1976), 209-224. | Article | Zbl 0352.20035