Fully commutative Kazhdan-Lusztig cells  [ Cellules pleinement commutatives de Kazhdan-Lusztig ]
Annales de l'Institut Fourier, Tome 51 (2001) no. 4, p. 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
@article{AIF_2001__51_4_1025_0,
     author = {Green, Richard M. and Losonczy, Jozsef},
     title = {Fully commutative Kazhdan-Lusztig cells},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {51},
     number = {4},
     year = {2001},
     pages = {1025-1045},
     doi = {10.5802/aif.1843},
     zbl = {1008.20036},
     mrnumber = {1849213},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2001__51_4_1025_0}
}
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. https://www.numdam.org/item/AIF_2001__51_4_1025_0/

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