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

Mathematics – Quantum Algebra

Scientific paper

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LaTeX, 25 pages

Scientific paper

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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