Regular representations for exceptional Hecke algebras

The method followed in our article The BMR freeness conjecture for the 2-reflection groups (see also here ) provides a description of the regular representation of Hecke algebras of exceptional types as modules over parabolic subalgebras of Coxeter type. The files below therefore contain a list of matrices, each of them corresponding to a generator of the presentation described in the paper -- and each matrix takes entries in the corresponding parabolic subalgebras. These matrices are produced by the programs used for the paper.
The groups for which the matrices are available here are : G12, G22, G24, G27, G29, G33 wrt A4 , G33 wrt D4.





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