Dent, A and Tange, R orcid.org/0000-0003-0867-1573 (2019) Bases for Spaces of Highest Weight Vectors in Arbitrary Characteristic. Algebras and Representation Theory, 22 (5). pp. 1133-1147. ISSN 1386-923X
Abstract
Let k be an algebraically closed field of arbitrary characteristic. First we give explicit bases for the highest weight vectors for the action of GLr ×GLs on the coordinate ring k[Mat m rs ] of m-tuples of r × s-matrices. It turns out that this is done most conveniently by giving an explicit good GLr ×GLs-filtration on k[Mat m rs ]. Then we deduce from this result explicit spanning sets of the k[Mat n ] GL n -modules of highest weight vectors in the coordinate ring k[Matn] under the conjugation action of GLn.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018, The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | Highest weight vector |
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) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 13 Jul 2018 09:45 |
Last Modified: | 28 Jul 2020 14:26 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s10468-018-9815-3 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:133252 |
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