Preprojective algebras and cluster algebras
Christof Geiss
Universidad Nacional Autonoma de México, México, D.F., MexicoBernard Leclerc
Université de Caen, FranceJan Schröer
Rheinische Friedrich-Wilhelms-Universität Bonn, Germany
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Abstract
We use the representation theory of preprojective algebras to construct and study certain cluster algebras related to semisimple algebraic groups.