Cluster algebras, quiver representations and triangulated categories

dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Keller, Bernhardt
dc.date.accessioned
2009-03-12T15:33:01Z
dc.date.accessioned
2024-09-19T13:25:21Z
dc.date.available
2009-03-12T15:33:01Z
dc.date.available
2024-09-19T13:25:21Z
dc.date.created
2008-07
dc.date.issued
2008-07
dc.identifier.uri
http://hdl.handle.net/2072/14100
dc.description.abstract
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.
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dc.format.extent
79
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666084 bytes
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application/pdf
dc.language.iso
eng
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dc.publisher
Centre de Recerca Matemàtica
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dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;818
dc.rights
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/)
cat
dc.subject.other
Categories (Matemàtica)
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dc.title
Cluster algebras, quiver representations and triangulated categories
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dc.type
info:eu-repo/semantics/preprint
ca
dc.subject.udc
512
ca


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