The subobject decomposition in enveloping tensor categories
نویسندگان
چکیده
To every regular category $\mathcal{A}$ equipped with a degree function $\delta$ one can attach pseudo-abelian tensor $\mathcal{T}(\mathcal{A},\delta)$. We show that the generating objects of $\mathcal{T}$ decompose canonically as direct sum. In this paper we calculate morphisms, compositions morphisms and products summands. As special case recover original construction Deligne's $\operatorname{Rep} S_t$.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2021
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2021.12.008