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Symmetries of quantum spaces. Subgroups and quotient spaces of quantumSU(2) andSO(3) groups
Authors:Piotr Podlés
Institution:(1) Department of Mathematical Methods in Physics, Faculty of Physics, Warsaw University, Hoza 74, 00-682 Warszawa, Poland
Abstract:We prove that each action of a compact matrix quantum group on a compact quantum space can be decomposed into irreducible representations of the group. We give the formula for the corresponding multiplicities in the case of the quotient quantum spaces. We describe the subgroups and the quotient spaces of quantumSU(2) andSO(3) groups.
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