Homology of the zero-set of a nilpotent vector field on a flag manifold

De Concini, C.; Lusztig, G.; Procesi, C.

doi:10.1090/S0894-0347-1988-0924700-2

Homology of the zero-set of a nilpotent vector field on a flag manifold
HTML articles powered by AMS MathViewer

by C. De Concini, G. Lusztig and C. Procesi

J. Amer. Math. Soc. 1 (1988), 15-34

DOI: https://doi.org/10.1090/S0894-0347-1988-0924700-2

PDF | Request permission

References

P. Bala and R. W. Carter, Classes of unipotent elements in simple algebraic groups. I, Math. Proc. Cambridge Philos. Soc. 79 (1976), no. 3, 401–425. MR 417306, DOI 10.1017/S0305004100052403
H. Bass and W. Haboush, Linearizing certain reductive group actions, Trans. Amer. Math. Soc. 292 (1985), no. 2, 463–482. MR 808732, DOI 10.1090/S0002-9947-1985-0808732-4
W. M. Beynon and N. Spaltenstein, Green functions of finite Chevalley groups of type $E_{n}$ $(n=6,\,7,\,8)$, J. Algebra 88 (1984), no. 2, 584–614. MR 747534, DOI 10.1016/0021-8693(84)90084-X
A. Białynicki-Birula, Some theorems on actions of algebraic groups, Ann. of Math. (2) 98 (1973), 480–497. MR 366940, DOI 10.2307/1970915
William Fulton, Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 2, Springer-Verlag, Berlin, 1984. MR 732620, DOI 10.1007/978-3-662-02421-8
V. Ginsburg, “Lagrangian” construction for representations of Hecke algebras, Adv. in Math. 63 (1987), no. 1, 100–112. MR 871082, DOI 10.1016/0001-8708(87)90064-8
David Kazhdan and George Lusztig, Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), no. 1, 153–215. MR 862716, DOI 10.1007/BF01389157
George Lusztig, Some examples of square integrable representations of semisimple $p$-adic groups, Trans. Amer. Math. Soc. 277 (1983), no. 2, 623–653. MR 694380, DOI 10.1090/S0002-9947-1983-0694380-4
T. Shoji, On the Green polynomials of classical groups, Invent. Math. 74 (1983), no. 2, 239–267. MR 723216, DOI 10.1007/BF01394315
Nicolas Spaltenstein, Classes unipotentes et sous-groupes de Borel, Lecture Notes in Mathematics, vol. 946, Springer-Verlag, Berlin-New York, 1982 (French). MR 672610, DOI 10.1007/BFb0096302
N. Spaltenstein, On unipotent and nilpotent elements of groups of type $E_{6}$, J. London Math. Soc. (2) 27 (1983), no. 3, 413–420. MR 697134, DOI 10.1112/jlms/s2-27.3.413
T. A. Springer, Trigonometric sums, Green functions of finite groups and representations of Weyl groups, Invent. Math. 36 (1976), 173–207. MR 442103, DOI 10.1007/BF01390009
T. A. Springer and R. Steinberg, Conjugacy classes, Seminar on Algebraic Groups and Related Finite Groups (The Institute for Advanced Study, Princeton, N.J., 1968/69) Lecture Notes in Mathematics, Vol. 131, Springer, Berlin, 1970, pp. 167–266. MR 0268192