Schur elements and basic sets for cyclotomic Hecke algebras

Details Schur elements and basic sets for cyclotomic Hecke algebras Schur elements and basic sets for cyclotomic Hecke algebras

2009-10-26

arxiv.org/abs/0910.4931v1

Mathematics

Representation Theory

Scientific paper

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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