Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914814890082304 |
|---|---|
| author | Kirkman, Ellen Moore, W. Frank Oke, Tolulope |
| author_facet | Kirkman, Ellen Moore, W. Frank Oke, Tolulope |
| contents | For a finite group $G$ and $\Bbbk$ an algebraically closed field of characteristic zero we consider Artin-Schelter regular algebras $A$ on which the Drinfeld double $D(G)$ acts inner faithfully, and its associated algebras of invariants $A^{D(G)}$. Explicit computations for the cases when $G$ is the (generalized) quaternion group of order 8 and 16 are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18310 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras Kirkman, Ellen Moore, W. Frank Oke, Tolulope Rings and Algebras Quantum Algebra Representation Theory 16W22, 16T05, 16E65 For a finite group $G$ and $\Bbbk$ an algebraically closed field of characteristic zero we consider Artin-Schelter regular algebras $A$ on which the Drinfeld double $D(G)$ acts inner faithfully, and its associated algebras of invariants $A^{D(G)}$. Explicit computations for the cases when $G$ is the (generalized) quaternion group of order 8 and 16 are given. |
| title | Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras |
| topic | Rings and Algebras Quantum Algebra Representation Theory 16W22, 16T05, 16E65 |
| url | https://arxiv.org/abs/2405.18310 |