The many integral graded cellular bases of hecke algebras of complex reflection groups

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We settle several long-standing problems in the theory of cyclotomic Hecke algebras: for each charge we construct the integral cellular basis predicted by Ariki’s categorification theorem. We hence prove unitriangularity of decomposition matrices and Martin–Woodcock’s conjecture.
Original languageEnglish
Pages (from-to)437-504
JournalAmerican Journal of Mathematics
Issue number2
Publication statusPublished - 1 Apr 2022

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