# Journal article

## 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 $q \neq 1$ 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 $A$.
Publication status:
Published

### Access Document

Publisher copy:
10.1017/S0013091510001264

### Authors

Journal:
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
Volume:
55
Issue:
2
Pages:
497-506
Publication date:
2010-04-13
DOI:
EISSN:
1464-3839
ISSN:
0013-0915
Language:
English
Keywords:
Pubs id:
pubs:194803
UUID:
uuid:a054d09d-11b6-40ed-91b1-8c26da3e10a9
Local pid:
pubs:194803
Source identifiers:
194803
Deposit date:
2012-12-19