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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2103.08686 |
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Table of Contents:
- To every regular category $\mathcal{A}$ equipped with a degree function $δ$ one can attach a pseudo-abelian tensor category $\mathcal{T}(\mathcal{A},δ)$. We show that the generating objects of $\mathcal{T}$ decompose canonically as a direct sum. In this paper we calculate morphisms, compositions of morphisms and tensor products of the summands. As a special case we recover the original construction of Deligne's category $\operatorname{Rep} S_t$.