King, O (2016) On the decomposition matrix of the partition algebra in positive characteristic. Journal of Algebra, 451. 115 - 144. ISSN 0021-8693
Abstract
We examine the structure of the partition algebra Pn(δ) over a field k of characteristic p>0. In particular, we describe the decomposition matrix of Pn(δ) when n<p and δ≠0, and when n=p and δ=p−1.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 Published by Elsevier Inc. This is an author produced version of a paper published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Representation theory; Modular representation theory; Diagram algebra; Partition algebra |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Jan 2016 16:24 |
Last Modified: | 05 Jan 2017 00:18 |
Published Version: | http://dx.doi.org/10.1016/j.jalgebra.2015.11.038 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jalgebra.2015.11.038 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:93243 |