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The many integral graded cellular bases of Hecke algebras of complex reflection groups
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 144, Number 2, April 2022
- pp. 437-504
- 10.1353/ajm.2022.0008
- Article
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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.