Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Representations of Coxeter groups and Hecke algebras

This is a preview of subscription content, log in to check access.

References

  1. 1.

    Benson, C.T., Curtis, C.W.: On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc.165, 251–273 (1972) and202, 405–406 (1975)

  2. 2.

    Bourbaki, N.: Groupes et algèbres de Lie, Chapitres 4, 5, 6, Paris: Hermann 1968

  3. 3.

    Curtis, C.W., Iwahori, N., Kilmoyer, R.: Hecke algebras and characters of parabolic type of finite groups with (B, N) pair, I.H.E.S. Publ. Math.40, 81–116 (1972)

  4. 4.

    Delorme, P.: Extensions dans la categorieO de Bernstein-Gelfand-Gelfand. Applications, preprint, Palaiseau, 1978

  5. 5.

    Grothendieck, A., SGA2, Amsterdam: North Holland 1968

  6. 6.

    Jantzen, C.J.: Moduln mit einem höchsten Gewicht. Habilitationsschrift, Bonn, 1977

  7. 7.

    Joseph, A.: A characteristic variety for the primitive spectrum of a semisimple Lie algebra, preprint, Bonn, 1976

  8. 8.

    Joseph, A.:W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra, preprint, Tel-Aviv, 1978

  9. 9.

    Knuth, D.E.: The art of computer programming, Addison-Wesley, 1975

  10. 10.

    Lusztig, G.: A class of irreducible representations of a Weyl group, in press (1979)

  11. 11.

    Verma, D.N.: Möblus inversion for the Bruhat ordering on a Weyl group. Ann. Sci. E.N.S., 4e serie, t.4, 393–398 (1971)

  12. 12.

    Vogan, D.: A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra, preprint, Princeton, 1978

  13. 13.

    Vogan, D.: Ordering in the primitive spectrum of a semisimple Lie algebra, preprint, Princeton, 1978

  14. 14.

    Vogan, D.: Irreducible characters of semisimple Lie groups II. The Kazhdan-Lusztig conjectures, manuscript, 1979

Download references

Author information

Additional information

Both authors were supported in part by the National Science Foundation

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kazhdan, D., Lusztig, G. Representations of Coxeter groups and Hecke algebras. Invent Math 53, 165–184 (1979). https://doi.org/10.1007/BF01390031

Download citation

Keywords

  • Coxeter Group