FRIEZES, STRINGS AND CLUSTER VARIABLES

ASSEM, IBRAHIM ; DUPONT, GRÉGOIRE ; SCHIFFLER, RALF ; SMITH, DAVID

Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 27-60

Résumé

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.

Détail

DOI : 10.1017/S0017089511000322

Mots-clés : 13F60, 16G20

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