Green polynomials and singularities of unipotent classes. (English) Zbl 0473.20029


20G05 Representation theory for linear algebraic groups
20G40 Linear algebraic groups over finite fields
20G10 Cohomology theory for linear algebraic groups
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
20C15 Ordinary representations and characters
20C30 Representations of finite symmetric groups
Full Text: DOI


[1] Curtis, C. W.; Iwahori, N.; Kilmoyer, R., Hecke algebras and characters of parabolic type of finite groups with BN pairs, Inst. Hautes. Études Sci. Publ. Math., 40, 81-116 (1972) · Zbl 0254.20004
[2] Deligne, P., letter to D. Kazhdan and G. Lusztig (20 April 1979)
[5] Green, J. A., The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80, 402-447 (1955) · Zbl 0068.25605
[6] Kazhdan, D., Proof of Springer’s hypothesis, Israel J. Math., 28, 272-286 (1977) · Zbl 0391.22006
[7] Kazhdan, D.; Lusztig, G., Representations of Coxeter groups and Hecke algebras, Invent. Math., 53, 165-184 (1979) · Zbl 0499.20035
[8] Kazhdan, D.; Lusztig, G., Schubert Vareties and Poincaré Duality, (Proc. Symp. Pure Math., Vol. 36 (1980), Amer. Math. Soc: Amer. Math. Soc Providence, R.I)
[9] Lascoux, A.; Schutzenberger, M. P., Sur une conjecture de H. O. Foulkes, C. R. Acad. Sci. Paris Ser. A, 285, 323-324 (1978) · Zbl 0374.20010
[10] Lusztig, G., A class of irreducible representations of a Weyl group, Proc. Kon. Ned. Akad. Wetensch. Ser. A, 82, No. 3, 323-335 (1979) · Zbl 0435.20021
[11] Lusztig, G., Some problems in the representation theory of a finite Chevalley group, (Proceedings, Symposium Pure Mathematics, Vol. 37 (1980), Amer. Math. Soc: Amer. Math. Soc Providence, R.I) · Zbl 0426.20034
[12] Macdonald, I. G., Symmetric Functions and Hall Polynomials (1979), Oxford Univ. Press (Clarendon): Oxford Univ. Press (Clarendon) Oxford · Zbl 0487.20007
[13] Slodowy, P., Four Lectures on Simple Groups and Singularities (1980), Communications of the Mathematical Institute: Communications of the Mathematical Institute Utrecht · Zbl 0425.22020
[15] Springer, T. A., Trigonometric sums, Green functions of finite groups and representations of Weyl groups, Invent. Math., 36, 173-207 (1976) · Zbl 0374.20054
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