Li, H and Tange, R orcid.org/0000-0003-0867-1573 (2024) A Combinatorial Translation Principle and Diagram Combinatorics for the Symplectic Group. Transformation Groups, 29 (1). pp. 231-252. ISSN 1083-4362
Abstract
Let k be an algebraically closed field of characteristic p > 2. We compute the Weyl filtration multiplicities in indecomposable tilting modules and the decomposition numbers for the symplectic group over k in terms of cap-curl diagrams under the assumption that p is bigger than the greatest hook length in the largest partition involved. As a corollary we obtain the decomposition numbers for the Brauer algebra under the same assumptions. Our work combines ideas from work of Cox and De Visscher and work of Shalile with techniques from the representation theory of reductive groups.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2022. This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
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: | 25 Nov 2021 13:44 |
Last Modified: | 21 Mar 2024 16:40 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s00031-021-09685-6 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:180803 |