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arXiv · 2303.14656

Discrete quantum subgroups of complex semisimple quantum groups

Kan Kitamura
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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.

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Kan Kitamura. 2023-03-26. Discrete quantum subgroups of complex semisimple quantum groups. https://arxiv.org/abs/2303.14656

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