Braided cogroupoids

Thi Hoa Nguyen

Braided cogroupoids

范畴论 2026-06-29 v1 量子代数环与代数

作者: Thi Hoa Nguyen

摘要

We introduce and develop the theory of braided cogroupoids, a class of algebraic structures generalizing cogroupoids in a braided setting. We show that braided cogroupoids induce monoidal equivalences between the associated comodule categories, and we generalize Majid's transmutation and bosonization of braided Hopf algebras to the cogroupoid setting. Several examples are studied in detail, including the braided $SL_{n}$ cogroupoid and the braided bilinear cogroupoid.

引用

@article{arxiv.2606.30165,
  title  = {Braided cogroupoids},
  author = {Thi Hoa Nguyen},
  journal= {arXiv preprint arXiv:2606.30165},
  year   = {2026}
}