| HAL : hal-00518249, version 2 |
| arXiv : 1009.3341 |
| Fiche détaillée | Récupérer au format |
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| to appear in Glasgow Mathematical Journal (2011) 32 pages |
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| Versions disponibles : | v1 (17-09-2010) | v2 (14-03-2011) |
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| Friezes, Strings and Cluster Variables |
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| Ibrahim Assem 1Grégoire Dupont 1 |
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| (2011) |
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| 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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| 1 : | Département de Mathématiques, Université de Sherbrooke |
| Université de Sherbrooke | |
| 2 : | University of Connecticut |
| University of Connecticut | |
| 3 : | Department of Mathematics, Bishop's University |
| Bishop's University | |
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| Domaine | : | Mathématiques/Algèbre commutative |
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| cluster algebras – friezes – string modules |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00518249, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00518249 | |
| oai:hal.archives-ouvertes.fr:hal-00518249 | |
| Contributeur : David Smith | |
| Soumis le : Lundi 7 Mars 2011, 20:38:41 | |
| Dernière modification le : Lundi 14 Mars 2011, 10:27:47 | |