Globalization and the biactegory of partial modules
Rings and Algebras
2025-06-24 v1 Category Theory
Quantum Algebra
Representation Theory
Abstract
We show that the category of partial modules over a Hopf algebra is a biactegory (a bimodule category) over the category of global -modules. The corresponding enrichment of partial modules over global modules is described, and the close relation between the dilation of partial modules and Hom-objects arising from this enrichment is investigated. In particular, for finite-dimensional pointed Hopf algebras, the standard dilation of a partial module is isomorphic to the Hom-object from the monoidal unit to .
Cite
@article{arxiv.2506.18451,
title = {Globalization and the biactegory of partial modules},
author = {Eliezer Batista and William Hautekiet and Joost Vercruysse},
journal= {arXiv preprint arXiv:2506.18451},
year = {2025}
}
Comments
34 pages, comments welcome