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The BMR freeness conjecture for the 2-reflection groups


Authors: Ivan Marin and Götz Pfeiffer
Journal: Math. Comp. 86 (2017), 2005-2023
MSC (2010): Primary 20C08; Secondary 20F55
DOI: https://doi.org/10.1090/mcom/3142
Published electronically: October 12, 2016
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Abstract: We prove the freeness conjecture of Broué, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.


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Additional Information

Ivan Marin
Affiliation: LAMFA, Université de Picardie Jules Verne, 33 rue Saint Leu, 80039 Amiens, France
Email: ivan.marin@u-picardie.fr

Götz Pfeiffer
Affiliation: School of Mathematics, Statistics and Applied Mathematics, NUI Galway, University Road, Galway, Ireland
Email: goetz.pfeiffer@nuigalway.ie

DOI: https://doi.org/10.1090/mcom/3142
Received by editor(s): September 17, 2015
Received by editor(s) in revised form: January 12, 2016
Published electronically: October 12, 2016
Article copyright: © Copyright 2016 American Mathematical Society