Partial actions of groups on monoidal categories
Category Theory
2024-12-18 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.2412.13123,
title = {Partial actions of groups on monoidal categories},
author = {Eliezer Batista and Felipe Lopes Castro and Mykola Khrypchenko},
journal= {arXiv preprint arXiv:2412.13123},
year = {2024}
}
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41 pages