The periodicity conjecture for pairs of Dynkin diagrams

• 成果类型: Article
• 署名作者: Keller, Bernhard
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2013.177.1.3
• 发表日期: 2013
• 页码: 111-170
• 关键词: thermodynamic bethe-ansatz; conformal field-theories; CLUSTER ALGEBRAS; dilogarithm identities; tilting theory; finite-type; QUIVERS; CATEGORIES; potentials; Mutation

摘要

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