On the General Ranks of QP Representations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908154151829504 |
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| author | Fei, Jiarui |
| author_facet | Fei, Jiarui |
| contents | We propose a mutation formula for the general rank from a principal component ${\rm PC}(δ)$ of representations to another one ${\rm PC}(ε)$ for a quiver with potential. We give sufficient conditions for the formula to hold. In particular, the formula holds when any of $δ$ and $ε$ is reachable. We discover several related mutation invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_10591 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the General Ranks of QP Representations Fei, Jiarui Representation Theory Primary 16G10, Secondary 13F60 We propose a mutation formula for the general rank from a principal component ${\rm PC}(δ)$ of representations to another one ${\rm PC}(ε)$ for a quiver with potential. We give sufficient conditions for the formula to hold. In particular, the formula holds when any of $δ$ and $ε$ is reachable. We discover several related mutation invariants. |
| title | On the General Ranks of QP Representations |
| topic | Representation Theory Primary 16G10, Secondary 13F60 |
| url | https://arxiv.org/abs/2303.10591 |