Decomposition matrices for \(d\)-Harish-Chandra series: the exceptional rank two cases

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 or...

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Bibliographic Details
Published in:arXiv.org 2011-08
Main Authors: Chlouveraki, Maria, Miyachi, Hyohe
Format: Article
Language:English
Subjects:
Decomposition
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1008.3413