一维量子广群的代数形式
Algebraic Versions of a Finite-Dimensional Quantum Groupoid
摘要：
本文建立了有限维量子广群的三个等价形式：T. Yamanouchi霍普夫代数由G. Bohm，F. Nill和K. Szlachanyi（具有对合对极）和Kac双模--Hopf双模的代数版本，这一概念由J. M.瓦林我们还研究了有限维量子群胚的结构和构造实例。
英文摘要：
We establish the equivalence of three versions of a finite dimensional quantum groupoid: a generalized Kac algebra introduced by T. Yamanouchi, a weak $C^*$-Hopf algebra introduced by G. Bohm, F. Nill and K. Szlachanyi (with an involutive antipode), and a Kac bimodule -- an algebraic version of a Hopf bimodule, the notion introduced by J.-M. Vallin. We also study the structure and construct examples of finite dimensional quantum groupoids.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
