Multiplicity-free tensor products of irreducible modules over simple algebraic groups in positive characteristic
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913539891920896 |
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| author | Mancini, Gaëtan |
| author_facet | Mancini, Gaëtan |
| contents | Let $k$ be an algebraically closed field of characteristic $p>0$. In this master thesis, we classify multiplicity-free tensor products of simple modules for the groups $SL_2(k)$ and $SL_3(k)$. We also provide a classification for $SL_n(k)$ when $p=2$ and give partial results in the case of $Sp_4(k)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07179 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicity-free tensor products of irreducible modules over simple algebraic groups in positive characteristic Mancini, Gaëtan Representation Theory Let $k$ be an algebraically closed field of characteristic $p>0$. In this master thesis, we classify multiplicity-free tensor products of simple modules for the groups $SL_2(k)$ and $SL_3(k)$. We also provide a classification for $SL_n(k)$ when $p=2$ and give partial results in the case of $Sp_4(k)$. |
| title | Multiplicity-free tensor products of irreducible modules over simple algebraic groups in positive characteristic |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2410.07179 |