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Journal of Algebraic Combinatorics

, Volume 35, Issue 2, pp 291–311 | Cite as

Schur elements for the Ariki–Koike algebra and applications

  • Maria Chlouveraki
  • Nicolas JaconEmail author
Article

Abstract

We study the Schur elements associated to the simple modules of the Ariki–Koike algebra. We first give a cancellation-free formula for them so that their factors can be easily read and programmed. We then study direct applications of this result. We also complete the determination of the canonical basic sets for cyclotomic Hecke algebras of type G(l,p,n) in characteristic 0.

Keywords

Hecke algebras Complex reflection groups Schur elements Blocks Basic sets 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.School of MathematicsEdinburghUK
  2. 2.UFR Sciences et TechniquesBesançonFrance

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