Quiver connections and bimodules of basic algebras
Category Theory
2024-04-29 v1 Quantum Algebra
Rings and Algebras
Abstract
Motivated by the problem of classifying quantum symmetries of non-semisimple, finite-dimensional associative algebras, we define a notion of connection between bounded quivers and build a bicategory of bounded quivers and quiver connections. We prove this bicategory is equivalent to a bicategory of basic algebras, bimodules, and intertwiners with some additional structure.
Cite
@article{arxiv.2404.17002,
title = {Quiver connections and bimodules of basic algebras},
author = {Sean Thompson},
journal= {arXiv preprint arXiv:2404.17002},
year = {2024}
}