Easy quantum groups
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911064783847424 |
|---|---|
| author | Banica, Teo |
| author_facet | Banica, Teo |
| contents | A closed subgroup $G\subset_uU_N^+$ is called easy when its associated Tannakian category $C_{kl}=Hom(u^{\otimes k},u^{\otimes l})$ appears from a category of partitions, $C=span(D)$ with $D=(D_{kl})\subset P$, via the standard implementation of partitions as linear maps. The examples abound, and the main known subgroups $G\subset U_N^+$ are either easy, or not far from being easy. We discuss here the basic theory, examples and known classification results for the easy quantum groups $G\subset U_N^+$, as well as various generalizations of the formalism, known as super-easiness theories, and the unification problem for them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12368 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Easy quantum groups Banica, Teo Quantum Algebra Mathematical Physics Operator Algebras Representation Theory A closed subgroup $G\subset_uU_N^+$ is called easy when its associated Tannakian category $C_{kl}=Hom(u^{\otimes k},u^{\otimes l})$ appears from a category of partitions, $C=span(D)$ with $D=(D_{kl})\subset P$, via the standard implementation of partitions as linear maps. The examples abound, and the main known subgroups $G\subset U_N^+$ are either easy, or not far from being easy. We discuss here the basic theory, examples and known classification results for the easy quantum groups $G\subset U_N^+$, as well as various generalizations of the formalism, known as super-easiness theories, and the unification problem for them. |
| title | Easy quantum groups |
| topic | Quantum Algebra Mathematical Physics Operator Algebras Representation Theory |
| url | https://arxiv.org/abs/2312.12368 |