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arXiv · 2007.09876

On the quasitriangular structures of abelian extensions of $Z_2$

Kun Zhou·Gongxiang Liu
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Abstract

The aim of this paper is to study quasitriangular structures on a class of semisimple Hopf algebras constructed through abelian extensions of $Z_2$ for an abelian group $G$. We prove that there are only two forms of them. Using such description together with some other techniques, we get a complete list of all universal $\mathcal{R}$-matrices on some Hopf algebras.

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Kun Zhou, Gongxiang Liu. 2020-07-20. On the quasitriangular structures of abelian extensions of $Z_2$. https://arxiv.org/abs/2007.09876

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