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Mathematische Zeitschrift

, Volume 240, Issue 3, pp 579–610 | Cite as

Morita equivalences of Ariki–Koike algebras

  • Richard Dipper
  • Andrew Mathas
Original article

Abstract.

We prove that every Ariki–Koike algebra is Morita equivalent to a direct sum of tensor products of smaller Ariki–Koike algebras which have q–connected parameter sets. A similar result is proved for the cyclotomic q–Schur algebras. Combining our results with work of Ariki and Uglov, the decomposition numbers for the Ariki–Koike algebras defined over fields of characteristic zero are now known in principle.

Mathematics Subject Classification (1991): 20C08, 16G99, 20G05 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Richard Dipper
    • 1
  • Andrew Mathas
    • 2
  1. 1.Mathematisches Institut B, Universität Stuttgart, D-70550 Stuttgart, Germany (e-mail: rdipper@mathematik.uni-stuttgart.de) DE
  2. 2.School of Mathematics and Statistics F07, University of Sydney, Sydney N.S.W. 2006, Australia (e-mail: mathas@maths.usyd.edu.au; www.maths.usyd.edu.an/u/mathas/) AU

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