Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight

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
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 (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Depositing User:	Pure Connector
Date Deposited:	05 Feb 2016 08:12
Last Modified:	07 Nov 2024 12:38
URI:	https://ueaeprints.uea.ac.uk/id/eprint/56951
DOI:	10.1016/j.jpaa.2015.10.019

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