Schur elements and basic sets for cyclotomic Hecke algebras

Maria Chlouveraki (1) , Nicolas Jacon (2)

1 School of Mathematics - University of Edinburgh
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

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).

Domaines: Théorie des représentations [math.RT]

Maria Chlouveraki, Nicolas Jacon. Schur elements and basic sets for cyclotomic Hecke algebras. Journal of Algebra and Its Applications, 2011, 10 (5), pp.979-993. ⟨10.1142/S0219498811005075⟩. ⟨hal-00426565⟩