Martin, Samuel orcid.org/0000-0002-6298-1014 (2018) On certain tilting modules for SL_2. Journal of Algebra, 506. pp. 397-408. ISSN 0021-8693
Abstract
We give a complete picture of when the tensor product of an induced module and a Weyl module is a tilting module for the algebraic group over an algebraically closed field of characteristic p. Whilst the result is recursive by nature, we give an explicit statement in terms of the p-adic expansions of the highest weight of each module.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s), 2018 | ||||
Keywords: | Representation theory, Algebraic groups, SL2, Tilting modules, Induced module, Weyl module, Positive characteristic. | ||||
Dates: |
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
Funding Information: |
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Depositing User: | Mr Samuel Martin | ||||
Date Deposited: | 22 Aug 2018 13:27 | ||||
Last Modified: | 22 Aug 2018 13:27 | ||||
Status: | Published | ||||
Publisher: | Elsevier | ||||
Refereed: | Yes |