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arXiv · 1803.07239

A Class of Quasitriangular Group-cograded Multiplier Hopf Algebras

Tao Yang·Xuan Zhou·Haixin Zhu
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Abstract

For a multiplier Hopf algebra pairing $\langle A, B\rangle$, we construct a class of group-cograded multiplier Hopf algebras $D(A, B)$, generalizing the classical construction of finite dimensional Hopf algebras introduced by Panaite and Staic Mihai. Furthermore, if the multiplier Hopf algebra pairing admits a canonical multiplier in $M(B\otimes A)$ we show the existence of quasitriangular structure on $D(A, B)$. As an application, some special cases and examples are provided.

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Tao Yang, Xuan Zhou, Haixin Zhu. 2018-03-21. A Class of Quasitriangular Group-cograded Multiplier Hopf Algebras. https://doi.org/10.1017/s0017089518000514

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