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

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JournalAmerican Journal of Mathematics
DateAccepted/In press - 21 Jul 2021
Original languageEnglish

Abstract

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.

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