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arXiv · 2008.09525

Multiplier Hopf coquasigroups with faithful integrals

Tao Yang
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Abstract

Let $A$ be a multiplier Hopf coquasigroup. If the faithful integrals exist, then they are unique up to scalar. Furthermore, if $A$ is of discrete type, then its integral duality $\widehat{A}$ is a Hopf quasigroup, and the biduality $\widehat{\widehat{A}}$ is isomorphic to the original $A$ as multiplier Hopf coquasigroups. This biduality theorem also holds for a class of Hopf quasigroups with faithful integrals.

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Tao Yang. 2020-08-21. Multiplier Hopf coquasigroups with faithful integrals. https://arxiv.org/abs/2008.09525

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