$f$-vectors and $F$-invariant in generalized cluster algebras
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909630155718656 |
|---|---|
| author | Ye, Huihui Fu, Changjian |
| author_facet | Ye, Huihui Fu, Changjian |
| contents | We establish certain fundamental properties of $f$-vectors and $F$-matrices for generalized cluster algebras, including the initial and final seed mutation formulas, the compatibility property and the symmetry property. Along the way, we also generalize the construction of $F$-invariant for generalized cluster algebras without assuming positivity and prove certain basic properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $f$-vectors and $F$-invariant in generalized cluster algebras Ye, Huihui Fu, Changjian Rings and Algebras We establish certain fundamental properties of $f$-vectors and $F$-matrices for generalized cluster algebras, including the initial and final seed mutation formulas, the compatibility property and the symmetry property. Along the way, we also generalize the construction of $F$-invariant for generalized cluster algebras without assuming positivity and prove certain basic properties. |
| title | $f$-vectors and $F$-invariant in generalized cluster algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2504.11940 |