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

Maria Chlouveraki, Hyohe Miyachi

Research output: Contribution to journalArticlepeer-review

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.
Original languageUndefined/Unknown
JournalLMS Journal of Computation and Mathematics
Volume14
Publication statusPublished - Nov 2011

Keywords

  • math.RT
  • 20C08

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