Fusion Categories over Non-Algebraically Closed Fields
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866907991856381952 |
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| author | Sanford, Sean |
| author_facet | Sanford, Sean |
| contents | Several complications arise when attempting to work with fusion categories over arbitrary fields. Here we describe some of the new phenomena that occur when the field is not algebraically closed, and we adapt tools such as the Frobenius-Perron dimension in order to accommodate these new effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02354 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fusion Categories over Non-Algebraically Closed Fields Sanford, Sean Quantum Algebra 18M20 Several complications arise when attempting to work with fusion categories over arbitrary fields. Here we describe some of the new phenomena that occur when the field is not algebraically closed, and we adapt tools such as the Frobenius-Perron dimension in order to accommodate these new effects. |
| title | Fusion Categories over Non-Algebraically Closed Fields |
| topic | Quantum Algebra 18M20 |
| url | https://arxiv.org/abs/2401.02354 |