Discrete quantum subgroups of complex semisimple quantum groups
Quantum Algebra
2023-06-19 v2 Operator Algebras
Abstract
We classify discrete quantum subgroups in the quantum double of the -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.
Keywords
Cite
@article{arxiv.2303.14656,
title = {Discrete quantum subgroups of complex semisimple quantum groups},
author = {Kan Kitamura},
journal= {arXiv preprint arXiv:2303.14656},
year = {2023}
}
Comments
15 pages, minor modifications