Constructs integral bases for the cocenter of cyclotomic Hecke algebras of type G(r,1,n) and proves dimension independence from characteristic and parameters, verifying a conjecture.
Ariki , On the semi-simplicity of the Hecke algebra of (Z/rZ) ≀Sn, J
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On the cocenter of the cyclotomic Hecke algebra of type $G(r,1,n)$
Constructs integral bases for the cocenter of cyclotomic Hecke algebras of type G(r,1,n) and proves dimension independence from characteristic and parameters, verifying a conjecture.