Bowman-Scargill, Chris orcid.org/0000-0001-6046-8930 (2022) The many integral graded cellular bases of hecke algebras of complex reflection groups. American Journal of Mathematics. pp. 437-504. ISSN 0002-9327
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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Copyright, Publisher and Additional Information: | This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details | ||||
Dates: |
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
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Depositing User: | Pure (York) | ||||
Date Deposited: | 30 Jul 2021 08:30 | ||||
Last Modified: | 06 Dec 2023 14:20 | ||||
Published Version: | https://doi.org/10.1353/ajm.2022.0008 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1353/ajm.2022.0008 |