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