The global representation fibered ring
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912744688582656 |
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| author | Calderón, J. Miguel Raggi-Cárdenas, Alberto G. |
| author_facet | Calderón, J. Miguel Raggi-Cárdenas, Alberto G. |
| contents | In this paper, we combine the concepts of the fibered Burnside ring and the character ring, viewing them as fibered biset functors, into what we call the global representation fibered ring of a finite group. We compute all ring homomorphisms from this ring to the complex numbers, determine its spectrum and its connected components, and identify the primitive idempotents of this ring tensor with $\mathbb{Q}$ and its conductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The global representation fibered ring Calderón, J. Miguel Raggi-Cárdenas, Alberto G. Representation Theory 16Y99, 18D99, 20J15 In this paper, we combine the concepts of the fibered Burnside ring and the character ring, viewing them as fibered biset functors, into what we call the global representation fibered ring of a finite group. We compute all ring homomorphisms from this ring to the complex numbers, determine its spectrum and its connected components, and identify the primitive idempotents of this ring tensor with $\mathbb{Q}$ and its conductors. |
| title | The global representation fibered ring |
| topic | Representation Theory 16Y99, 18D99, 20J15 |
| url | https://arxiv.org/abs/2502.09887 |