Discrete hypergroups associated with compact quantum Gelfand Pairs

Details Discrete hypergroups associated with compact quantum Gelfand Pairs Discrete hypergroups associated with compact quantum Gelfand Pairs

1994-03-31

arxiv.org/abs/math/9403217v1

Contemp. Math. 183, 1995, Amer. Math. Soc., pp. 213-235

Mathematics

Quantum Algebra

Scientific paper

A discrete DJS-hypergroup is constructed in connection with the linearization formula for the product of two spherical elements for a quantum Gelfand pair of two compact quantum groups. A similar construction is discussed for the case of a generalized quantum Gelfand pair, where the role of the quantum subgroup is taken over by a two-sided coideal in the dual Hopf algebra. The paper starts with a review of compact quantum groups, with an approach in terms of so-called CQG algebras. The paper concludes with some examples of hypergroups thus obtained.

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