Geometry of orbits and Springer correspondence
Orbites unipotentes et représentations - I. Groupes finis et Algèbres de Hecke, Astérisque, no. 168 (1988), pp. 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},
     zbl = {0769.20018},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1988__168__61_0/}
}
TY  - CHAP
AU  - Shoji, Toshiaki
TI  - Geometry of orbits and Springer correspondence
BT  - Orbites unipotentes et représentations - I. Groupes finis et Algèbres de Hecke
AU  - Collectif
T3  - Astérisque
PY  - 1988
DA  - 1988///
IS  - 168
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_1988__168__61_0/
UR  - https://zbmath.org/?q=an%3A0769.20018
LA  - en
ID  - AST_1988__168__61_0
ER  - 
%0 Book Section
%A Shoji, Toshiaki
%T Geometry of orbits and Springer correspondence
%B Orbites unipotentes et représentations - I. Groupes finis et Algèbres de Hecke
%A Collectif
%S Astérisque
%D 1988
%N 168
%I Société mathématique de France
%G en
%F 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://archive.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. | DOI | Zbl

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

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

[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. | DOI | Zbl

[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. | DOI | Zbl

[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

[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

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

[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. | DOI | Zbl

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

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

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

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

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

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

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

[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. | DOI | EuDML | Zbl

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[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. | DOI | Zbl

[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. | DOI | Zbl

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

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

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

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

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

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

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

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

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

[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. | DOI | Zbl

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

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

[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

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

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