Partial compact quantum groups

JOURNAL OF ALGEBRA

卷:438

Article

De Commer, Kenny¹  Timmermann, Thomas² 

[1] Vrije Univ Brussel, Dept Math, B-1050 Brussels, Belgium

[2] Univ Munster, D-48149 Munster, Germany

关键词: Hopf face algebras;    Tannaka reconstruction;    Dynamical quantum groups;   

DOI  :  10.1016/j.jalgebra.2015.04.039

来源: Elsevier

【 摘 要 】

Compact quantum groups of face type, as introduced by Hayashi, form a class of quantum groupoids with a classical, finite set of objects. Using the notions of weak multiplier bialgebras and weak multiplier Hopf algebras (resp. due to Bohm-Gomez-Torrecillas-Lopez-Centella and Van Daele-Wang), we generalize Hayashi's definition to allow for an infinite set of objects, and call the resulting objects partial compact quantum groups. We prove a Tannaka-Krein-Woronowicz reconstruction result for such partial compact quantum groups using the notion of partial fusion C*-categories. As examples, we consider the dynamical quantum SU(2)-groups from the point of view of partial compact quantum groups. (C) 2015 The Authors. Published by Elsevier Inc.

【 授权许可】

Free