On the classification of partition quantum groups

On the classification of partition quantum groups

This is a survey on some results obtained recently in the classification of compact quantum groups associated to partitions, with a focus on the non-crossing case. We take a global look at the main results in the subject and highlight some key features of the methods used. We conclude by several sug...

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Veröffentlicht in:Expositiones mathematicae 2021-06, Vol.39 (2), p.238-270
1. Verfasser: Freslon, Amaury
Format: Artikel
Sprache:eng
Schlagworte:
Compact quantum groups
Mathematics
Noncrossing partitions
Operator Algebras
Physical Sciences
Representation theory
Science & Technology
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Beschreibung
Zusammenfassung:This is a survey on some results obtained recently in the classification of compact quantum groups associated to partitions, with a focus on the non-crossing case. We take a global look at the main results in the subject and highlight some key features of the methods used. We conclude by several suggestions for pushing further the classification.
ISSN:0723-0869
1878-0792
DOI:10.1016/j.exmath.2021.02.001