Division algebras in monoidal categories
Quantum Algebra
2025-11-18 v3 Category Theory
Abstract
This work adapts the equivalent definitions of division algebras over a field into multiple types of division algebras in a monoidal category. Examples and consequences of these definitions are then established in various monoidal settings.
Cite
@article{arxiv.2502.02532,
title = {Division algebras in monoidal categories},
author = {Jacob Kesten and Chelsea Walton},
journal= {arXiv preprint arXiv:2502.02532},
year = {2025}
}
Comments
v3: 14 pages. To appear in the Journal of Algebra and Its Applications