Cluster algebras, quiver representations and triangulated categories
| Contribuinte(s) |
Centre de Recerca Matemàtica |
|---|---|
| Data(s) |
01/07/2008
|
| Resumo |
This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with the representation theory of quivers and with Calabi-Yau triangulated categories. It is based on lectures given by the author at summer schools held in 2006 (Bavaria)and 2008 (Jerusalem). In addition to by now classical material, we present the outline of a proof of the periodicity conjecture for pairs of Dynkin diagrams (details will appear elsewhere) and recent results on the interpretation of mutations as derived equivalences. |
| Formato |
79 666084 bytes application/pdf |
| Identificador | |
| Idioma(s) |
eng |
| Publicador |
Centre de Recerca Matemàtica |
| Relação |
Prepublicacions del Centre de Recerca Matemàtica;818 |
| Direitos |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
| Palavras-Chave | #Categories (Matemàtica) #512 - Àlgebra |
| Tipo |
info:eu-repo/semantics/preprint |
