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arxiv: 0910.4931 · v1 · submitted 2009-10-26 · 🧮 math.RT

Schur elements and basic sets for cyclotomic Hecke algebras

classification 🧮 math.RT
keywords algebrasbasiccyclotomicelementsgroupsheckeschursets
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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).

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