Double categories and quantum groupoids
量子代数
2007-05-23 v2
摘要
We give the construction of a class of weak Hopf algebras (or quantum groupoids) associated to a matched pair of groupoids and certain cocycle data. This generalizes a now well-known construction for Hopf algebras, first studied by G. I. Kac in the sixties. Our approach is based on the notion of double groupoids, as introduced by Ehresmann.
引用
@article{arxiv.math/0308228,
title = {Double categories and quantum groupoids},
author = {Nicolas Andruskiewitsch and Sonia Natale},
journal= {arXiv preprint arXiv:math/0308228},
year = {2007}
}
备注
34 pages, amslatex. The statement in Proposition 3.10 has been corrected