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The number of simple modules of the Hecke algebras of type G(r,1,n)

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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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Authors and Affiliations

  1. Tokyo University of Mercantile Marine, Etchujima 2-1-6, Koto-ku, Tokyo 135-8533, Japan (e-mail: ariki@ipc.tosho-u.ac.jp) , , , , , , JP

    Susumu Ariki

  2. University of Sydney, Sydney NSW 2006, Australia (e-mail: a.mathas@maths.usyd.edu.au) , , , , , , AU

    Andrew Mathas

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  1. Susumu Ariki
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  2. Andrew Mathas
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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

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