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

2000/10/02 by A. A. Kalyuzhnyi, Kalyuzhnyi, A. A.
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA

paper · pdf · doi:10.48550/arxiv.math/0010021

LaTeX, 25 pages

arxiv created 2000/10/02 · arxiv updated 2009/11/30

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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• Algebraic Quantum Hypergroups
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