Abstract.
This paper classifies the simple modules of the cyclotomic Hecke algebras of type G(r,1,n) and the affine Hecke algebras of type A in arbitrary characteristic. We do this by first showing that the simple modules of the cyclotomic Hecke algebras are indexed by the set of “Kleshchev multipartitions”.
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Received July 24, 1998; in final form February 8, 1999
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Ariki, S., Mathas, A. The number of simple modules of the Hecke algebras of type G(r,1,n). Math Z 233, 601–623 (2000). https://doi.org/10.1007/s002090050489
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DOI: https://doi.org/10.1007/s002090050489