Zéros de caractères
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916609291976704 |
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| author | Serre, Jean-Pierre |
| author_facet | Serre, Jean-Pierre |
| contents | Let G be a compact real Lie group, and let f be an irreducible complex character of G, of degree > 1. We show that there exists an element g of G, of finite order, such that f(g)=0. We also give an unpublished result of Deligne, about replacing " of finite order " by " of order a power of a prime number ". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17551 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Zéros de caractères Serre, Jean-Pierre Group Theory Algebraic Geometry Let G be a compact real Lie group, and let f be an irreducible complex character of G, of degree > 1. We show that there exists an element g of G, of finite order, such that f(g)=0. We also give an unpublished result of Deligne, about replacing " of finite order " by " of order a power of a prime number ". |
| title | Zéros de caractères |
| topic | Group Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2312.17551 |