SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS

Maria Chlouveraki, Nicolas Jacon

Research output: Contribution to journalArticlepeer-review

Abstract

We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex reflection groups. This includes the case of finite Weyl groups for all choices of parameters (in characteristic 0).

Original languageEnglish
Pages (from-to)979-993
Number of pages15
JournalJournal of algebra and its applications
Volume10
Issue number5
DOIs
Publication statusPublished - Oct 2011

Keywords

  • Hecke algebras
  • symmetric algebras
  • a-function
  • Schur elements
  • basic sets
  • ARIKI-KOIKE ALGEBRAS
  • SIMPLE MODULES
  • REPRESENTATIONS

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