Mutation classes of finite type cluster algebras with principal coefficients

Date

2013-06-15

Author

Seven, Ahmet İrfan

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Cluster algebras of finite type is a fundamental class of algebras whose classification is identical to the famous Cartan Killing classification. More recently, Fomin and Zelevinslcy introduced another central notion of cluster algebras with principal coefficients. These algebras are determined combinatorially by mutation classes of certain rectangular matrices. It was conjectured, by Fomin and Zelevinsky, that finite type cluster algebras with principal coefficients are characterized by the mutation classes which are finite. In this paper, we prove this conjecture.

Subject Keywords

Geometry and Topology, Algebra and Number Theory, Numerical Analysis, Discrete Mathematics and Combinatorics

URI

https://hdl.handle.net/11511/42964

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/j.laa.2013.02.025

Collections

Department of Mathematics, Article

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Citation Formats

A. İ. Seven, “Mutation classes of finite type cluster algebras with principal coefficients,” LINEAR ALGEBRA AND ITS APPLICATIONS, pp. 4584–4594, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42964.