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arXiv · 1811.11628

On sovereign, balanced and ribbon quasi-Hopf algebras

Daniel Bulacu·Blas Torrecillas
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Abstract

We introduce the notions of sovereign, spherical and balanced quasi-Hopf algebra. We investigate the connections between these, as well as their connections with the class of pivotal, involutory and ribbon quasi-Hopf algebras, respectively. Examples of balanced and ribbon quasi-Hopf algebras are obtained from a sort of double construction which associates to a braided category (resp. rigid braided) a balanced (resp. ribbon) one.

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Daniel Bulacu, Blas Torrecillas. 2018-11-28. On sovereign, balanced and ribbon quasi-Hopf algebras. https://arxiv.org/abs/1811.11628

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