The periodicity conjecture for pairs of Dynkin diagrams

Details The periodicity conjecture for pairs of Dynkin diagrams The periodicity conjecture for pairs of Dynkin diagrams

2010-01-10

arxiv.org/abs/1001.1531v5

Mathematics

Representation Theory

background material added in section 5, examples added in sections 5 and 6, references updated, to appear in Ann. of Math

Scientific paper

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

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