scholarly journals Morita equivalences for cyclotomic Hecke algebras of type B and D

2021 ◽  
Vol 149 (1) ◽  
pp. 179-233
Author(s):  
Salim Rostam ◽  
Loïc Poulain d'Andecy
2010 ◽  
Vol 197 ◽  
pp. 175-212
Author(s):  
Maria Chlouveraki

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 seriesG(de, e, r), thus completing their calculation for all complex reflection groups.


2004 ◽  
Vol 181 (1) ◽  
pp. 134-159 ◽  
Author(s):  
Susumu Ariki ◽  
Andrew Mathas

2010 ◽  
Vol 197 ◽  
pp. 175-212 ◽  
Author(s):  
Maria Chlouveraki

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.


2011 ◽  
Vol 10 (05) ◽  
pp. 979-993 ◽  
Author(s):  
MARIA CHLOUVERAKI ◽  
NICOLAS JACON

We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck–Rouquier, for certain complex reflection groups. This includes the case of finite Weyl groups for all choices of parameters (in characteristic 0).


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