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 |
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