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Rouquier blocks of the cyclotomic Hecke algebras of G(de, e, r)

Published online by Cambridge University Press:  11 January 2016

Maria Chlouveraki
Maria Chlouveraki*
Affiliation:
University of Edinburgh, School of Mathematics, JCMB, King’s Buildings, Edinburgh, EH9 3JZ, [email protected]
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Abstract

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The Rouquier blocks of the cyclotomic Hecke algebras, introduced by Rouquier, are a substitute for the families of characters defined by Lusztig for Weyl groups, which can be applied to all complex reflection groups. In this article, we determine them for the cyclotomic Hecke algebras of the groups of the infinite series G(de, e, r), thus completing their calculation for all complex reflection groups.

Keywords

20C08
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 197 , March 2010 , pp. 175 - 212
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2010

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