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Lyle, Sinead 
ORCID: https://orcid.org/0000-0002-6032-7721
(2024)
Decomposition numbers for Rouquier blocks of Ariki-Koike algebras I.
Journal of Combinatorial Algebra.
ISSN 2415-6302
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Abstract
Let H=Hr,n(q,Q) denote an Ariki–Koike algebra over a field of characteristic p≥0. For each r-multipartition λ of n, there exists a H-module Sλ and for each Kleshchev r-multipartition μ of n, there exists an irreducible H-module Dμ. Given a multipartition λ and a Kleshchev multipartition μ both lying in a Rouquier block such that λ and μ have the same multicore, we give a closed formula for the graded decomposition number [Sλ:Dμ]v when p=0 or when each component of μ has fewer than p removable e-rim hooks.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ariki-koike algebras,decomposition numbers,rouquier blocks |
| Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) |
| Depositing User: | LivePure Connector |
| Date Deposited: | 24 May 2024 15:30 |
| Last Modified: | 24 Dec 2024 00:58 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/95305 |
| DOI: | 10.4171/JCA/87 |
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