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

Mathematics – Representation Theory

Scientific paper

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

Scientific paper

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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