[La conjecture de liberté de BMR pour les deux premières familles des groupes exceptionnels de rang 2]
La conjecture de liberté de Broué, Malle et Rouquier pour les algèbres de Hecke géneriques associées à des groupes de réflexions complexes est encore ouverte pour 14 cas, qui couvrent la quasi-totalité des groupes de reflexions complexes exceptionnels de rang 2. Nous prouvons cette conjecture pour 9 de ces cas ouverts, en donnant une base similaire à celle du cas classique des groupes de Coxeter finis.
The freeness conjecture of Broué, Malle and Rouquier for the generic Hecke algebras associated with complex reflection groups is still open for 14 cases, which cover almost all the exceptional complex reflection groups of rank 2. We prove this conjecture for 9 of these remaining cases, giving a basis similar to the classical case of the finite Coxeter groups.
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@article{CRMATH_2017__355_1_1_0,
author = {Eirini Chavli},
title = {The {BMR} freeness conjecture for the first two families of the exceptional groups of rank 2},
journal = {Comptes Rendus. Math\'ematique},
pages = {1--4},
publisher = {Elsevier},
volume = {355},
number = {1},
year = {2017},
doi = {10.1016/j.crma.2016.11.016},
language = {en},
}
Eirini Chavli. The BMR freeness conjecture for the first two families of the exceptional groups of rank 2. Comptes Rendus. Mathématique, Volume 355 (2017) no. 1, pp. 1-4. doi : 10.1016/j.crma.2016.11.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.11.016/
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