Cluster categories and their relation to cluster algebras and semi-invariants. (Q1035254)
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scientific article; zbMATH DE number 5624125
| Language | Label | Description | Also known as |
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| English | Cluster categories and their relation to cluster algebras and semi-invariants. |
scientific article; zbMATH DE number 5624125 |
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Cluster categories and their relation to cluster algebras and semi-invariants. (English)
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2 November 2009
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This paper is a survey on cluster algebras, cluster categories, cluster tilting objects, with a special focus on the relation between domains of semi-invariants on virtual representation spaces of Dynkin quivers and a simplicial complex obtained from the indecomposable objects with no selfextensions in the cluster category; these latter results are proved by \textit{K. Igusa, K. Orr, G. Todorov, J. Weyman} [Compos. Math. 145, No. 4, 1001-1034 (2009; Zbl 1180.14047)].
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cluster algebras
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cluster categories
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tilting objects
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semi-invariants of quivers
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