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SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS

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

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).

    Research areas

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

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