Lyle, Sinead ORCID: https://orcid.org/0000-0002-6032-7721 and Ruff, Oliver (2016) Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight. Journal of Pure and Applied Algebra, 220 (6). pp. 2112-2142.
Preview |
PDF (SmallWeight)
- Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (472kB) | Preview |
Abstract
We present some blocks of Ariki-Koike algebras H_{n,r} for which the decomposition matrices are independent of the characteristic of the underlying field. We complete the description of the graded decomposition numbers for blocks of Ariki-Koike algebras of weight at most two, which consists of analysing the indecomposable core blocks at level r = 3, and give a closed formula for the decomposition numbers in this case.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | cyclotomic hecke algebra,quiver hecke algebra,specht moduls,decomposition numbers |
Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics |
Depositing User: | Pure Connector |
Date Deposited: | 05 Feb 2016 08:12 |
Last Modified: | 09 Oct 2024 23:47 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/56951 |
DOI: | 10.1016/j.jpaa.2015.10.019 |
Downloads
Downloads per month over past year
Actions (login required)
View Item |