Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2207.03142 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914623874138112 |
|---|---|
| author | Saleh, Ibrahim |
| author_facet | Saleh, Ibrahim |
| contents | A mutation loop of a valued quiver $Q$, is a combination of quiver automorphisms (permutations of vertices and valuations) and mutations that sends $Q$ to itself. In this article we study what we called \emph{global mutations loops} which are sequences formed of mutations only that send each quiver $Q'$ in the mutation class $[Q]$ to $σ(Q')$ for some permutation $σ$. Based on the weight of $[Q]$ and the shape of $Q$, we identify which quivers have mutations global loops and we provide them for each case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_03142 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On The Mutations Loops of Valued Quivers Saleh, Ibrahim Representation Theory A mutation loop of a valued quiver $Q$, is a combination of quiver automorphisms (permutations of vertices and valuations) and mutations that sends $Q$ to itself. In this article we study what we called \emph{global mutations loops} which are sequences formed of mutations only that send each quiver $Q'$ in the mutation class $[Q]$ to $σ(Q')$ for some permutation $σ$. Based on the weight of $[Q]$ and the shape of $Q$, we identify which quivers have mutations global loops and we provide them for each case. |
| title | On The Mutations Loops of Valued Quivers |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2207.03142 |