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

Chris Bowman-Scargill

doi:10.1353/ajm.2022.0008

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

Chris Bowman-Scargill

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	437-504
Journal	American Journal of Mathematics
Volume	144
Issue number	2
DOIs	https://doi.org/10.1353/ajm.2022.0008
Publication status	Published - 1 Apr 2022

Bibliographical note

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

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10.1353/ajm.2022.0008Licence: Unspecified

25th March
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
Accepted author manuscript, 739 KB

Tensor and wreath products of symmetric groups
Bowman-Scargill, C. (Principal investigator)
EPSRC
4/05/21 → 3/05/26
Project: Research project (funded) › Research

Cite this

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

Abstract

Bibliographical note

Access to Document

Projects

Tensor and wreath products of symmetric groups

Cite this