Quantum categories, star autonomy, and quantum groupoids
范畴论
2007-05-23 v2 量子代数
摘要
A useful general concept of bialgebroid seems to be resolving itself in recent publications; we give a treatment in terms of modules and enriched categories. We define the term "quantum category". The definition of antipode for a bialgebroid is less resolved in the literature. Our suggestion is that the kind of dualization occurring in Barr's star-autonomous categories is more suitable than autonomy (= compactness = rigidity). This leads to our definition of quantum groupoid intended as a "Hopf algebra with several objects".
引用
@article{arxiv.math/0301209,
title = {Quantum categories, star autonomy, and quantum groupoids},
author = {Brian Day and Ross Street},
journal= {arXiv preprint arXiv:math/0301209},
year = {2007}
}
备注
41 pages, PDF file based on MacWrite document This revised version corrects some duality mistakes in the last three sections