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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.18786 |
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| _version_ | 1866918350112686080 |
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| author | Lübeck, Frank |
| author_facet | Lübeck, Frank |
| contents | In this short note we show that every connected reductive simply-connected algebraic group of rank $>1$ over the complex numbers has infinitely many pairs of irreducible representations which are not related by an automorphism of the algebraic group and which have the same degree.
This answers a question I was asked by J.~P.~Serre. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18786 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Representations with the same degree Lübeck, Frank Representation Theory In this short note we show that every connected reductive simply-connected algebraic group of rank $>1$ over the complex numbers has infinitely many pairs of irreducible representations which are not related by an automorphism of the algebraic group and which have the same degree. This answers a question I was asked by J.~P.~Serre. |
| title | Representations with the same degree |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2601.18786 |