Rouquier blocks of the cyclotomic Ariki-Koike algebras

Maria Chlouveraki

Research output: Contribution to journalArticlepeer-review

Abstract

The definition of Rouquier for families of characters of Weyl groups in terms of blocks of the associated Iwahori-Hecke algebra has made possible the generalization of this notion to the complex reflection groups. Here we give an algorithm for the determination of the "Rouquier blocks" of the cyclotomic Ariki-Koike algebras.

Original languageEnglish
Pages (from-to)689-720
Number of pages32
JournalAlgebra & Number Theory
Volume2
Issue number6
Publication statusPublished - 2008

Keywords

  • Ariki-Koike algebras
  • Rouquier blocks
  • cyclotomic Hecke algebras
  • families of characters

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