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arXiv · 2008.07199

Integral Dual of some infinite dimensional Hopf quasigroups

Tao Yang
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Abstract

For an infinite dimensional Hopf quasigroup, if the faithful integral exists, then it is unique up to scalar. Base on the faithful integrals, we construct the integral dual of a class of infinite dimensional Hopf quasigroups, and show that the integral dual has a similar structure to Hopf coquasigroup, which is a regular multiplier Hopf coquasigroup with a faithful integral.

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Tao Yang. 2020-08-17. Integral Dual of some infinite dimensional Hopf quasigroups. https://arxiv.org/abs/2008.07199

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