The periodicity conjecture for pairs of Dynkin diagrams

Abstract

We prove the periodicity conjecture for pairs of Dynkin diagrams using Fomin-Zelevinsky’s cluster algebras and their (additive) categorification via triangulated categories.

Authors

Bernhard Keller

Université Paris Diderot -- Paris 7, UFR de Mathématiques, Case 7012, 75205 Paris cedex 13, France and Institut de Mathématiques de Jussieu, 75252 Paris, France