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Discrete quantum subgroups of complex semisimple quantum groups (2303.14656v2)
Published 26 Mar 2023 in math.QA and math.OA
Abstract: We classify discrete quantum subgroups in the quantum double of the $q$-deformation of a compact semisimple Lie group, regarded as the complexification. We also record their classifications in some variants of quantum groups. Along the way, we show that quantum doubles of non-Kac type compact quantum groups do not admit the quantum analog of lattices considered by Brannan-Chirvasitu-Viselter.