Proof of the BMR conjecture for G20 and G21
classification
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math.RA
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casescomplexconjecturegroupsreflectionalgebrasassociatedbrou
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We prove two new cases of the Brou\'e-Malle-Rouquier freeness conjecture for the Hecke algebras associated to complex reflection groups. These two cases are the complex reflection groups of rank 2 called $G_{20}$ and $G_{21}$ in the Shephard and Todd classification. This reduces the number of remaining unproven cases to 3.
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