@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}, series = {Ast\'erisque}, pages = {61--140}, publisher = {Soci\'et\'e math\'ematique de France}, number = {168}, year = {1988}, zbl = {0769.20018}, language = {en}, url = {http://www.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 SP - 61 EP - 140 IS - 168 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1988__168__61_0/ 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 %P 61-140 %N 168 %I Société mathématique de France %U http://www.numdam.org/item/AST_1988__168__61_0/ %G en %F AST_1988__168__61_0
Shoji, Toshiaki. Geometry of orbits and Springer correspondence, dans 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] On Springer's correspondence for simple groups of type , Math. Proc. Camb. Phil. Soc. 92 (1982), 65-72. | DOI | Zbl
and :[2] Étale slices for algebraic transformation groups in characteristic p, Proc. London Math Soc. 51 (1985), 295-317. | DOI | Zbl
and :[3] Faisceaux pervers. Astérisque 100 (1982), Société Mathématique de France. | Numdam | Zbl
, and :[4] Green functions of finite Chevalley groups of type , J. of Algebra 88 (1984), 584-614. | DOI | Zbl
and :[5] 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] 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
and :[7] 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] Finite groups of Lie type: conjugacy classes and complex characters, Weily Interscience, 1985. | Zbl
:[9] 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
, and :[10] Representations of reductive groups over finite fields, Ann. of Math. 103 (1976), 103-161. | DOI | Zbl
and :[11] g-modules. Springer's representations and bivariant Chern classes. Adv. in Math. 61 (1986), 1-48. | DOI | Zbl
:[12] The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402-447. | DOI | Zbl
:[13] Intersection homology II, Invent. Math. 72 (1983), 77-129. | DOI | EuDML | Zbl
and :[14] On Springer's representations, J. Fac. Sci., Univ. of Tokyo, IA 28 (1982), 836-876. | Zbl
:[15] On Joseph's construction of Weyl group representations, Tohoku Math. J. 36 (1984), 49-74. | DOI | Zbl
:[16] The invariant holonomic system on a semisimple Lie algebra, Invent. Math. 75 (1984), 327-358. | DOI | EuDML | Zbl
and :[17] 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
and :[18] On the variety of a highest weight module, J. of Algebra 88 (1984), 238-278. | DOI | Zbl
:[19] Transformation de Fourier et majoration de somme exponentielles, Publ. Math. I.H.E.S. 62 (1985), 361-418. | DOI | EuDML | Numdam | Zbl
and :[20] Generalized Gelfand-Greav representations of exceptional simple algebraic groups over a finite field I, Invent. Math. 84 (1986), 575-616. | DOI | EuDML | Zbl
:[21] Proof of Springer's hypothesis, Israel J. Math. 28 (1977), 272-286. | DOI | Zbl
:[22] A topological approach to Springer's representations, Adv. in Math. 38 (1980), 222-228. | DOI | Zbl
and :[23] Green polynomials and singularities of unipotent classes, Adv. in Math. 42 (1981), 169-178. | DOI | Zbl
:[24] Characters of reductive groups over a finite field, Annals of Math. Studies 107, Princeton Univ. Press, 1984. | Zbl
:[25] Intersection cohomology complex on a reductive group, Invent. Math. 75 (1984), 205-272. | DOI | EuDML | Zbl
:[26] Character sheaves, I Adv. in Math. 56 (1985), 193-237. | DOI | Zbl
:Character sheaves, II Adv. in Math. 57 (1985), 226-265. | DOI | Zbl
:Character sheaves, III Adv. in Math. 57 (1985), 266-315. | DOI | Zbl
:Character sheaves, IV Adv. in Math. 59 (1986), 1-63. | DOI | Zbl
:Character sheaves, V Adv. in Math. 61 (1986), 103-155. | DOI | Zbl
:[27] On the character values of finite Chevalley groups at unipotent elements, J. of Algebra, 104 (1986), 146-194. | DOI | Zbl
:[28] Fourier transforms on a semisimple Lie algebra over , : in Algebraic groups Utrecht 1986, Lecture Notes in Math. 1271 (1987), 177-188, Springer-Verlag. | DOI | Zbl
:[29] 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
and :[30] Zeta and L-functions, : in Arithmetic Algebraic geometry, New York, Harper & Row (1965), 82-92. | Zbl
:[31] On the Springer representations of the Weyl groups of classical algebraic groups, Comm. in Algebra 7 (1979), 1713-1745. | DOI | Zbl
:On the Springer representations of the Weyl groups of classical algebraic groups, Comm. in Algebra 7 (1979), 2027-2033. | DOI | Zbl
:[32] On the Springer representations of Chevalley groups of type F4, Comm. in Algebra 8 (1980), 409-440. | DOI | Zbl
:[33] On the Green polynomials of Chevalley groups of type F4, Comm. in Algebra 10 (1982), 505-543. | DOI | Zbl
:[34] On the Green polynomials of classical groups, Invent. Math. 74 (1983), 239-267. | DOI | EuDML | Zbl
:[35] Four lectures on simple groups and singularities, Comm. of Math. Inst. Rijksuniversiteit Utrecht, 11 (1980). | Zbl
:[36] Classes unipotentes et sous-groupes de Borel, Lecture Note in Math. 946 (1982), Springer-Verlag. | Zbl
:[37] Appendix, Math. Proc. Camb. Phil. Soc. 92 (1982), 73-78. | DOI
:[38] 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] Trigonometric sums, Green function of finite groups and representations of Weyl groups, Invent. Math. 36 (1976), 173-207. | DOI | EuDML | Zbl
:[40] A construction of representations of Weyl groups, Invent. Math. 44 (1978), 279-293. | DOI | EuDML | Zbl
:[41] A purity result for fixed point varieties in flag manifolds, J. Fac. Sci. Univ. of Tokyo, IA 31 (1984), 271-282. | Zbl
:[42] Conjugacy classes in algebraic groups, Lecture Note in Math. 366 (1974), Springer-Verlag. | Zbl
:[43] On the desingularization of the unpotent variety, Invent. Math. 36 (1976), 209-224. | DOI | EuDML | Zbl
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