Fully commutative Kazhdan-Lusztig cells
[Cellules pleinement commutatives de Kazhdan-Lusztig]
Green, Richard M. ; Losonczy, Jozsef
Annales de l'Institut Fourier, Tome 51 (2001), p. 1025-1045 / Harvested from Numdam
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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.

Publié le : 2001-01-01
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},
     volume = {51},
     year = {2001},
     pages = {1025-1045},
     doi = {10.5802/aif.1843},
     mrnumber = {1849213},
     zbl = {1008.20036},
     language = {en},
     url = {http://dml.mathdoc.fr/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) pp. 1025-1045. doi : 10.5802/aif.1843. http://gdmltest.u-ga.fr/item/AIF_2001__51_4_1025_0/

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