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arXiv · 1008.3413

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

Maria Chlouveraki·Hyohe Miyachi
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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.

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BibTeXRIS

Maria Chlouveraki, Hyohe Miyachi. 2010-08-19. Decomposition matrices for $d$-Harish-Chandra series: the exceptional rank two cases. https://doi.org/10.1112/s1461157010000306

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