# Representations of Coxeter Groups and Hecke Algebras.

Inventiones mathematicae (1979)

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

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top## How to cite

topLusztig, 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

top- Marcel-Paul Schützenberger, Pour le monoïde plaxique
- Matthew Dyer, On the “Bruhat graph” of a Coxeter system
- M. J. Dyer, Hecke algebras and shellings of Bruhat intervals
- K. N. Raghavan, Preena Samuel, K. V. Subrahmanyam, RSK bases and Kazhdan-Lusztig cells
- Dan Barbasch, Filtrations on Verma modules
- Aurélie Cortez, Singularités génériques des variétés de Schubert covexillaires
- Philippe Caldero, Markus Reineke, The bar automorphism in quantum groups and geometry of quiver representations
- Henning Haahr Andersen, Filtrations and tilting modules
- Nanhua Xi, The based ring of the lowest two-sided cell of an affine Weyl group. II
- A. Connes, Indice des sous facteurs, algèbres de Hecke et théorie des noeuds

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