Friezes, Strings and Cluster Variables
classification
🧮 math.AC
keywords
stringclusterlaurentmodulepolynomialwalkalgebraassociate
read the original abstract
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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