Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight.
type: Item
instance of: scholarly article
title: Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight.
zbMATH Open document ID: 1344.20006
author: Sinéad Lyle
author: Oliver Ruff
published in: Journal of Pure and Applied Algebra
publication date: 2016-02-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/1308.2170
review text: In this paper the authors present some blocks of Ariki-Koike algebras \(H_{n,r}\) where the decomposition matrices are independent of the characteristic of the underlying field. They complete the description of the graded decomposition numbers for blocks of Ariki-Koike algebras of weight at most two and give a closed formula for the decomposition numbers for these blocks in the case of level \(3\).
Mathematics Subject Classification ID: 20C08
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 6539213
zbMATH Keywords: Ariki-Koike algebras
zbMATH Keywords: blocks
zbMATH Keywords: weights
zbMATH Keywords: graded decomposition numbers
zbMATH Keywords: decomposition matrices
reviewed by: Hu Jun
MaRDI profile type: Publication
OpenAlex ID: W2181583610
arXiv ID: 1308.2170
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DOI: 10.1016/J.JPAA.2015.10.019
description: scientific article