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.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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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) |
| Funding Information: | Funder Grant number EPSRC EP/V00090X/1 |
| Date Deposited: | 30 Jul 2021 08:30 |
| Last Modified: | 02 Oct 2025 11:20 |
| Published Version: | https://doi.org/10.1353/ajm.2022.0008 |
| Status: | Published |
| Refereed: | Yes |
| Identification Number: | 10.1353/ajm.2022.0008 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:176665 |

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