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

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

2010-04-13

arxiv.org/abs/1004.2223v2

Mathematics

Representation Theory

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

Scientific paper

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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