Bowman, Christopher, Doty, S., Martin, S. (2015) Decomposition of tensor products of modular irreducible representations for SL3: the p ? 5 case. International Electronic Journal of Algebra, 17 (17). pp. 105-138. E-ISSN 1306-6048. (doi:10.24330/ieja.266215) (KAR id:70131)
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Official URL: http://dx.doi.org/10.24330/ieja.266215 |
Abstract
We study the structure of the indecomposable direct summands of tensor products of two restricted rational simple modules for the algebraic group SL3(K), where K is an algebraically closed field of characteristic p ? 5. We also give a characteristic-free algorithm for the decomposition of such a tensor product into indecomposable direct summands. The p < 5 case was studied in the authors’ earlier paper [4]. We find that for characteristics p ? 5 all the indecomposable summands are rigid, in contrast to the characteristic 3 case.
Item Type: | Article |
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DOI/Identification number: | 10.24330/ieja.266215 |
Uncontrolled keywords: | Algebraic groups, tilting modules, Weyl modules, quivers |
Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Christopher Bowman |
Date Deposited: | 16 Nov 2018 11:48 UTC |
Last Modified: | 10 Dec 2022 03:57 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/70131 (The current URI for this page, for reference purposes) |
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