Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915306394353664 |
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| author | Rizzoli, Aluna Testerman, Donna |
| author_facet | Rizzoli, Aluna Testerman, Donna |
| contents | Let G be a simple algebraic group defined over an algebraically closed field k of characteristic p>0. Here we classify all irreducible kG-modules for which the principal A1 has no repeated composition factors, extending the work of Liebeck-Seitz-Testerman which treated the same question when k is replaced by an algebraically closed field of characteristic zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group Rizzoli, Aluna Testerman, Donna Representation Theory Group Theory Let G be a simple algebraic group defined over an algebraically closed field k of characteristic p>0. Here we classify all irreducible kG-modules for which the principal A1 has no repeated composition factors, extending the work of Liebeck-Seitz-Testerman which treated the same question when k is replaced by an algebraically closed field of characteristic zero. |
| title | Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2402.12064 |