no. 4
Fully commutative Kazhdan-Lusztig cells
[Cellules pleinement commutatives de Kazhdan-Lusztig]
Annales de l'Institut Fourier, Tome 51 (2001) no. 4, pp. 1025-1045.

Nous étudions la compatibilité entre l'ensemble des éléments pleinement commutatifs d'un groupe de Coxeter et les divers types de cellules de Kazhdan-Lusztig, en utilisant une base canonique pour une version généralisée de l'algèbre de Temperley-Lieb.

We investigate the compatibility of the set of fully commutative elements of a Coxeter group with the various types of Kazhdan-Lusztig cells using a canonical basis for a generalized version of the Temperley-Lieb algebra.

DOI : https://doi.org/10.5802/aif.1843
Classification : 20C08,  20F55
Mots clés : base canonique, théorie des cellules, groupe de Coxeter, algèbre de Hecke, base de Kazhdan-Lusztig, algèbre de Temperley-Lieb 
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     author = {Green, Richard M. and Losonczy, Jozsef},
     title = {Fully commutative {Kazhdan-Lusztig} cells},
     journal = {Annales de l'Institut Fourier},
     pages = {1025--1045},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {51},
     number = {4},
     year = {2001},
     doi = {10.5802/aif.1843},
     zbl = {1008.20036},
     mrnumber = {1849213},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1843/}
}
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Green, Richard M.; Losonczy, Jozsef. Fully commutative Kazhdan-Lusztig cells. Annales de l'Institut Fourier, Tome 51 (2001) no. 4, pp. 1025-1045. doi : 10.5802/aif.1843. http://www.numdam.org/articles/10.5802/aif.1843/

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