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On the computation of Kazhdan-Lusztig polynomials and representations of Hecke algebras

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References

  1. C. W. Curtis, On Lusztig's isomorphism theorem for Hecke algebras. J. Algebra92, 348–365 (1985).

    Google Scholar 

  2. F.DuCloux, Un algorithme de forme normale pour les groups de Coxeter. Preprint 1990.

  3. F.DuCloux, The state of the art in the computation of Kazhdan-Lusztig polynomials. Appl. Alg. Eng. Comm. Comp., to appear.

  4. M. Dyer, Hecke algebras and shellings of Bruhat intervals. Compositio Math.89, 91–115 (1993).

    Google Scholar 

  5. A. M. Garsia andT. J. McLarnan, Relations between Young's natural and the Kazhdan-Lusztig representations ofS n. Adv. in Math.69, 32–92 (1988).

    Google Scholar 

  6. M.Geck, G.Hiss, F.Lübeck, G.Malle, and G.Pfeiffer, CHEVIE-Generic character tables of finite groups of Lie type, Hecke algebras and Weyl groups. IWR-preprint, Heidelberg 1993.

  7. M. Geck andG. Pfeiffer, On the irreducible characters of Hecke algebras. Adv. in Math.102, 79–94 (1993).

    Google Scholar 

  8. R. S. Irving, The socle filtration of a Verma module. Ann. Sci. École Norm. Sup. (4)21, 47–65 (1988).

    Google Scholar 

  9. D. Kazhdan andG. Lusztig, Representations of Coxeter groups and Hecke algebras. Invent. Math.53, 165–184 (1979).

    Google Scholar 

  10. D. Kazhdan andG. Lusztig, Schubert varieties and Poincaré duality. In: Geometry of the Laplace operator. Proc. Sympos. Pure Math.36, 185–203 (1980).

    Google Scholar 

  11. G. Lusztig, Cells in affine Weyl groups, II. J. Algebra109, 536–548 (1987).

    Google Scholar 

  12. A. P.Mathas, On some generic representations of generic Hecke algebras. Ph.D. Thesis 1993.

  13. A. Ram, A Frobenius formula for the characters of the Hecke algebras. Invent. Math.106, 461–488 (1991).

    Google Scholar 

  14. M.Schönert et al., GAP-Groups, Algorithms, and Programming, third ed. Aachen 1993.

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The material presented in this article forms part of the thesis I submitted to the University of Essen for achieving a Ph.D. in mathematics.

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Rosenboom, J. On the computation of Kazhdan-Lusztig polynomials and representations of Hecke algebras. Arch. Math 66, 35–50 (1996). https://doi.org/10.1007/BF01323981

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