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

Abstract

We compute the centre of the cyclotomic Hecke algebra attached to $G(m,1,2)$ and show that if $q\ne 1$ 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 $A$.

arXiv comment6 pages, some typographical errors corrected, and the exposition of the last section clarified.

References in corpus (1)

• Blocks of cyclotomic Hecke algebras