On the centre of the cyclotomic Hecke algebras of G(m,1,2)
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centreheckealgebracyclotomicaffinealgebrasarbitraryattached
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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 the affine Hecke algebra $\Ha$. We also briefly discuss what is known about the relation between the centre of an arbitrary cyclotomic Hecke algebra and the centre of the affine Hecke algebra of type $A$.
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