King, OH, Martin, PP and Parker, AE orcid.org/0000-0001-7014-6150 (2018) On central idempotents in the Brauer algebra. Journal of Algebra, 512. pp. 20-46. ISSN 0021-8693
Abstract
We provide a method for constructing central idempotents in the Brauer algebra (using the splitting of short exact sequences of bimodules). From this we determine certain primitive central idempotents. By working over a suitable integral ring we hence demonstrate an efficient method of constructing pieces of the representation theory of the Brauer algebra over Artinian rings from the integral case.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 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; Central idempotents; Diagram algebras; Brauer 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: | 19 Jul 2018 11:16 |
Last Modified: | 30 Jun 2019 00:43 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jalgebra.2018.06.024 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:133500 |