Representations of Coxeter Groups and Hecke Algebras.

George Lusztig; David Kazhdan

Inventiones mathematicae (1979)

  • Volume: 53, page 165-184
  • ISSN: 0020-9910; 1432-1297/e

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Lusztig, George, and Kazhdan, David. "Representations of Coxeter Groups and Hecke Algebras.." Inventiones mathematicae 53 (1979): 165-184. <http://eudml.org/doc/142660>.

@article{Lusztig1979,
author = {Lusztig, George, Kazhdan, David},
journal = {Inventiones mathematicae},
keywords = {Weyl groups; Coxeter groups; representations of Hecke algebras; Jordan-Hölder series of Verma modules; irreducible highest weight modules; Weyl character formula; primitive ideals in enveloping algebras; complex semisimple Lie algebras; local Poincaré duality; geometry of Schubert cells; flag varieties; intersection cohomology; Laurent polynomials; intertwining operators; finite Chevalley groups; affine Weyl groups; cohomology groups; simple reflections; highest weight representations; Cartan subalgebras},
pages = {165-184},
title = {Representations of Coxeter Groups and Hecke Algebras.},
url = {http://eudml.org/doc/142660},
volume = {53},
year = {1979},
}

TY - JOUR
AU - Lusztig, George
AU - Kazhdan, David
TI - Representations of Coxeter Groups and Hecke Algebras.
JO - Inventiones mathematicae
PY - 1979
VL - 53
SP - 165
EP - 184
KW - Weyl groups; Coxeter groups; representations of Hecke algebras; Jordan-Hölder series of Verma modules; irreducible highest weight modules; Weyl character formula; primitive ideals in enveloping algebras; complex semisimple Lie algebras; local Poincaré duality; geometry of Schubert cells; flag varieties; intersection cohomology; Laurent polynomials; intertwining operators; finite Chevalley groups; affine Weyl groups; cohomology groups; simple reflections; highest weight representations; Cartan subalgebras
UR - http://eudml.org/doc/142660
ER -

Citations in EuDML Documents

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  1. Marcel-Paul Schützenberger, Pour le monoïde plaxique
  2. Matthew Dyer, On the “Bruhat graph” of a Coxeter system
  3. M. J. Dyer, Hecke algebras and shellings of Bruhat intervals
  4. Dan Barbasch, Filtrations on Verma modules
  5. K. N. Raghavan, Preena Samuel, K. V. Subrahmanyam, RSK bases and Kazhdan-Lusztig cells
  6. Shiyu Lin, Shilin Yang, Representations of a class of positively based algebras
  7. Henning Haahr Andersen, Filtrations and tilting modules
  8. Nanhua Xi, The based ring of the lowest two-sided cell of an affine Weyl group. II
  9. Aurélie Cortez, Singularités génériques des variétés de Schubert covexillaires
  10. Philippe Caldero, Markus Reineke, The bar automorphism in quantum groups and geometry of quiver representations

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