Quasi-Cartan companions of elliptic cluster algebras

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2016

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Velioğlu, Kutlucan

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There is an analogy between combinatorial aspects of cluster algebras and diagrams corresponding to skew-symmetrizable matrices. In this thesis, we study quasi-Cartan companions of skew-symmetric matrices in the mutation-class of exceptional elliptic diagrams. In particular, we establish the existence of semipositive admissible quasi-Cartan companions for these matrices and exhibit some other invariant properties.

Subject Keywords

Cluster algebras., Elliptic functions.

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http://etd.lib.metu.edu.tr/upload/12620006/index.pdf
https://hdl.handle.net/11511/25662

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

K. Velioğlu, “Quasi-Cartan companions of elliptic cluster algebras,” Ph.D. - Doctoral Program, Middle East Technical University, 2016.