Center construction for group-crossed tensor categories
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917870594686976 |
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| author | Oikawa, Mizuki |
| author_facet | Oikawa, Mizuki |
| contents | We define the notion of the $(G,Γ)$-crossed center of a $(G,Γ)$-crossed tensor category in the sense of Natale. We show that the $(G, Γ)$-crossed center is a $(G \bowtie Γ, G \times Γ)$-braided tensor category. This construction generalizes the graded center construction for graded tensor categories and the equivariant center construction for tensor categories with group actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09972 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Center construction for group-crossed tensor categories Oikawa, Mizuki Quantum Algebra Category Theory We define the notion of the $(G,Γ)$-crossed center of a $(G,Γ)$-crossed tensor category in the sense of Natale. We show that the $(G, Γ)$-crossed center is a $(G \bowtie Γ, G \times Γ)$-braided tensor category. This construction generalizes the graded center construction for graded tensor categories and the equivariant center construction for tensor categories with group actions. |
| title | Center construction for group-crossed tensor categories |
| topic | Quantum Algebra Category Theory |
| url | https://arxiv.org/abs/2404.09972 |