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

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Original languageUndefined/Unknown
JournalLMS Journal of Computation and Mathematics
Publication statusPublished - Nov 2011


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.

    Research areas

  • math.RT, 20C08

ID: 613705