Kodai Mathematical Journal

Sovereign and ribbon weak Hopf algebras

Xiaohui Zhang, Xiaofan Zhao, and Shuanhong Wang

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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.

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Kodai Math. J., Volume 38, Number 2 (2015), 451-469.

First available in Project Euclid: 9 July 2015

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Zhang, Xiaohui; Zhao, Xiaofan; Wang, Shuanhong. Sovereign and ribbon weak Hopf algebras. Kodai Math. J. 38 (2015), no. 2, 451--469. doi:10.2996/kmj/1436403900. https://projecteuclid.org/euclid.kmj/1436403900

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