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.
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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 |
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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: | 12 Aug 2024 00:18 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/56951 |
DOI: | 10.1016/j.jpaa.2015.10.019 |
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