Use this URL to cite or link to this record in EThOS:
Title: Subgroups of quantum groups
Author: Christodoulou, Georgia
ISNI:       0000 0004 6346 6203
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2015
Availability of Full Text:
Access from EThOS:
Full text unavailable from EThOS. Please try the link below.
Access from Institution:
In this thesis 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. We give examples of quantum subgroups, some known and some new, which are all part of the family of spherical subgroups. The ultimate goal would be to quantize all spherical subgroups. 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.
Supervisor: Kremnizer, Kobi Sponsor: Onassis Foundation of Greece
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available