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We compute the centre of the cyclotomic Hecke algebra attached to $G(m,1,2)$and show that if $q \neq 1$ it is equal to the image of the centre of theaffine Hecke algebra $\Ha$. We also briefly discuss what is known about therelation between the centre of an arbitrary cyclotomic Hecke algebra and thecentre of the affine Hecke algebra of type $A$.

On the centre of the cyclotomic Hecke algebras of $G(m,1,2)$