Friezes, Strings and Cluster Variables
Overview & Synopsis
To any walk in a quiver, we associate a Laurent polynomial. When the walk is the string of a string module over a 2-Calabi-Yau tilted algebra, we prove that this Laurent polynomial coincides with the corresponding cluster character of the string module, up to an explicit normalising monomial factor.
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Document Information
| Document Title | Friezes, Strings and Cluster Variables |
|---|---|
| Author / Organization | Ibrahim Assem, Grégoire Dupont, Ralf Schiffler, David Smith |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2011 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-252374 |
| Original Source Link | Visit Source Page on hal.science » |