Abstract
In this paper, we study the Deligne's sovereign structure theorem on the finite dimensional weak Hopf algebras, and give a necessary and sufficient condition for a finite dimensional (co)quasitriangular weak Hopf algebra H with bijective antipode to admit a (co)ribbon structure. As an application we discuss the ribbon structures over the Drinfeld doubles of some weak Hopf algebras to verify our theory.
Citation
Xiaohui Zhang. Xiaofan Zhao. Shuanhong Wang. "Sovereign and ribbon weak Hopf algebras." Kodai Math. J. 38 (2) 451 - 469, June 2015. https://doi.org/10.2996/kmj/1436403900
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