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Conditional expectations on compact quantum groups and new examples of quantum hypergroups

A. A. Kalyuzhnyi
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Abstract

We propose a construction of quantum hypergroups using conditional expectations on compact quantum groups. Using this construction, we describe several series of non-trivial finite-dimensional quantum hypergroups via conditional expectations of Delsart type on non-trivial Kac algebras obtained by twisting of the finite groups.

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A. A. Kalyuzhnyi. 2000-10-02. Conditional expectations on compact quantum groups and new examples of quantum hypergroups. https://arxiv.org/abs/math/0010021

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