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affine and cyclotomic hecke algebras

Proceedings of the Edinburgh Mathematical Society (1)

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On the centre of the cyclotomic Hecke algebra of G(m, 1, 2)
Part of
- Representation theory of groups
- Lie algebras and Lie superalgebras
Kevin McGerty
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 2 / June 2012

Published online by Cambridge University Press:

12 April 2012, pp. 497-506
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We compute the centre of the cyclotomic Hecke algebra attached to G(m, 1, 2) and show that if q ≠ 1, it is equal to the image of the centre of the affine Hecke algebra Haff2. 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.