The subobject decomposition in enveloping tensor categories

Knop F (2022)


Publication Type: Journal article

Publication year: 2022

Journal

DOI: 10.1016/j.indag.2021.12.008

Abstract

To every regular category A equipped with a degree function δ one can attach a pseudo-abelian tensor category T(A,δ). We show that the generating objects of 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 RepSt.

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How to cite

APA:

Knop, F. (2022). The subobject decomposition in enveloping tensor categories. Indagationes Mathematicae. https://dx.doi.org/10.1016/j.indag.2021.12.008

MLA:

Knop, Friedrich. "The subobject decomposition in enveloping tensor categories." Indagationes Mathematicae (2022).

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