Subgroups of Quantum Groups
Representation Theory
2016-11-15 v1 Category Theory
Quantum Algebra
Abstract
We investigate the notion of a subgroup of a quantum group. We suggest a general definition, which takes into account the work that has been done for quantum homogeneous spaces. We further restrict our attention to reductive subgroups, where some faithful flatness conditions apply. Furthermore, we proceed with a categorical approach to the problem of finding quantum subgroups. We translate all existing results into the language of module and monoidal categories and give another characterization of the notion of a quantum subgroup.
Cite
@article{arxiv.1611.04008,
title = {Subgroups of Quantum Groups},
author = {Georgia Christodoulou},
journal= {arXiv preprint arXiv:1611.04008},
year = {2016}
}
Comments
34 pages. An edited version of the author's doctoral thesis. Any comments and corrections welcome