Partial actions of groups on monoidal categories

Fuente: arXiv
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Autori principali: Batista, Eliezer, Castro, Felipe Lopes, Khrypchenko, Mykola
Natura: Preprint
Pubblicazione: 2024
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author Batista, Eliezer
Castro, Felipe Lopes
Khrypchenko, Mykola
author_facet Batista, Eliezer
Castro, Felipe Lopes
Khrypchenko, Mykola
contents In this work, we introduce the notion of a partial action of a group on a strict monoidal category. We propose, in the context of Monoidal categories, new constructions analogous to those existing for partial group actions over an algebra such as the globalization, the subalgebra of partial invariants, and the partial smash product.
format Preprint
id arxiv_https___arxiv_org_abs_2412_13123
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Partial actions of groups on monoidal categories
Batista, Eliezer
Castro, Felipe Lopes
Khrypchenko, Mykola
Category Theory
Representation Theory
18M05, 18D25
In this work, we introduce the notion of a partial action of a group on a strict monoidal category. We propose, in the context of Monoidal categories, new constructions analogous to those existing for partial group actions over an algebra such as the globalization, the subalgebra of partial invariants, and the partial smash product.
title Partial actions of groups on monoidal categories
topic Category Theory
Representation Theory
18M05, 18D25
url https://arxiv.org/abs/2412.13123