Decomposition matrices for $d$-Harish-Chandra series: the exceptional rank two cases

Abstract

We calculate all decomposition matrices of the cyclotomic Hecke algebras of the rank 2 exceptional complex reflection groups in characteristic 0. We prove the existence of canonical basic sets in the sense of Geck-Rouquier and show that all modular irreducible representations can be lifted to the ordinary ones.

The second version includes an Appendix which contains an explicit computational example

References in corpus (2)

• On the category O for rational Cherednik algebras
• Constructing representations of Hecke algebras for complex reflection groups

Cited by in corpus (1)

• Intersections of blocks of cyclotomic Hecke algebras